Wow. Looks like one of the 80s Kramers of which he built & used dozens.  On the auction site you can zoom in on the images.

https://www.sothebys.com/en/buy/auction/2023/rock-roll/eddie-van-halen-hot-for-teacher-guitar

On the shot of the back of the guitar body you can see a series of holes at an angle.  That's where he had a little plexiglass table or shelf screwed in on a hinge to flip the guitar up to tap with both hands like a piano.   He only used that on the 1984 tour, which I was fortunate enough to see.  

Also, FWIW that's the guitar used in the Hot For Teacher music video.  EVH used a 50s Gibson Flying V to record the original song.  I'm guessing his son still has the V at 5150.