51105855864960 has 320 divisors, whose sum is σ = 196547336619480. Its totient is φ = 12579902816256.

The previous prime is 51105855864953. The next prime is 51105855864971. The reversal of 51105855864960 is 6946855850115.

51105855864960 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 5 + 8 + 5 + 586 + 49 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38950480425024 + 12155375439936 = 6241032^2 + 3486456^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×51105855864960² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37242937 + ... + 38590776.

Almost surely, 2^{51105855864960} is an apocalyptic number.

It is an amenable number.

51105855864960 is an abundant number, since it is smaller than the sum of its proper divisors (145441480754520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51105855864960 is a wasteful number, since it uses less digits than its factorization.

51105855864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75833757 (or 75833736 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 63.

The spelling of 51105855864960 in words is "fifty-one trillion, one hundred five billion, eight hundred fifty-five million, eight hundred sixty-four thousand, nine hundred sixty".