57956114792268 has 1440 divisors, whose sum is σ = 207868167288320. Its totient is φ = 13734891878400.

The previous prime is 57956114792171. The next prime is 57956114792339. The reversal of 57956114792268 is 86229741165975.

57956114792268 is a `hidden beast` number, since 5 + 7 + 95 + 6 + 1 + 1 + 479 + 2 + 2 + 68 = 666.

It is a super-2 number, since 2×57956114792268² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57956114792196 and 57956114792205.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16367158578 + ... + 16367162118.

Almost surely, 2^{57956114792268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57956114792268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103934083644160).

57956114792268 is an abundant number, since it is smaller than the sum of its proper divisors (149912052496052).

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

57956114792268 is a wasteful number, since it uses less digits than its factorization.

57956114792268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3699 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 57956114792268 in words is "fifty-seven trillion, nine hundred fifty-six billion, one hundred fourteen million, seven hundred ninety-two thousand, two hundred sixty-eight".