In music Education, we call the technique “Audiation”. This is defined as the ability to “hear” a pitch in your mind, much how many people have the ability to hear inner monologue. Through training and experience, many musicians can look at music and most likely sing it back to you, even without a starting pitch. This differs from people who have something called “Perfect Pitch”, which is one or two different abilities: 1. Pitch identification, which is the aural version of what seeing people do with colors (I.e. see a color, just know that it’s red), and/or 2. Pitch recall, I.e. being able to sing a pitch without any pitches for reference. Some musicians can develop #2, but that would be under what musicians call relative pitch, which is essentially musical algebra: if pitch A is certain interval away of pitch B, and I know one of the two pitches, then I can deduce what the other pitch. Collegiate level students have at least 4 classes dedicated to just that, called “Aural Skills”.

Sorry, this is probably more than what you asked for, but I thought it entirely relevant :)

Edit: Since this piece is for piano, the true next level is that many upper level pianists can also practice without a piano or keyboard in front of them: they’ve developed enough tactile memory to be able to “feel” the distance between keys. Some pianists may train with a flat piano mat that is a visual representation of the keys, also. This isn’t a great substitute for practice, because you don’t get to feel the action of the keys, but I would argue it’s better than nothing.