Finally unlocked what action you can do if you manage to do all the sleeps! It is an exciting foreshadow to future versions, I think..
Took me 7945 sleeps (and 159 dreams) to get it though! Automated a quick loop that got me above 5k power so I could run as many sleeps as possible while running it in the background. All current actions unlocked, now on loop 53!
Oh, downloaded version, don't go trying to unlock the sleep action in the web version.