A private key is a 256 bit number.
So that's 2256 = ~ 1.15 * 1077 = ~ 1150000000000000000000000000000000000000000000000000000000000000000000000000000 0
That's roughly the amount of atoms in the Universe.
Lets say i pick a random atom in the whole universe. Do you think you were able to guess which one i chose ?
The chances are not just very slim.. its practically impossible to even bruteforce a small fraction of the whole search space.
and that to me it's just fascinating, every time I think about the math behind private keys it blows my mind, it must be just impossible to even comprehend a number of this magnitude!
At the same time silly me can't stop thinking about some big wallet or portfolio out there being protected 'only' by these odds .. just wow!
I mean the next guy creating a seed boom find himself/herself with a wallet belonging to some big time coins owner, yes it's fantasy but still 1 possibility is there.. 1 tiny tiny possibility.. highly improbable, almost impossible we might say, but still 1 possibility is there .. and yet it will never happen! fascinating!!!