Finger Prints On Silver

If I'm correct you cannot get fingerprints off.

Correct. Fingerprints, if not removed almost immediately, will almost always permanently etch into the coin surface. If an acetone rinse does not remove the fingerprint, you are probably out of luck. Unfortunately, my best advice at this point would be to replace the coin.

Oddly enough fingerprints can engrave themselves on almost any metal. If left long enough they can and do leave an empression on any smooth service. It is the Acid, moiture, oils in your sweat that creates a nasty reaction that become part of the metal. I've seen this on even some grades of so called Stainless Steels. And as noted if caught in time Acetone will take them off. If not, they are there forever.
One of my irritations with that TV show Antique Road Show. I've seen so many people on there put their hands and fingers all over knives, swords, guns and yes, even coins. Then when it comes to an old vase, pot, jar, they handle it as if it was going to blow up in not treated like a bomb.