57949900968960 has 8448 divisors, whose sum is σ = 307637806694400. Its totient is φ = 10061571686400.

The previous prime is 57949900968959. The next prime is 57949900968989. The reversal of 57949900968960 is 6986900994975.

57949900968960 is a `hidden beast` number, since 5 + 7 + 9 + 499 + 0 + 0 + 9 + 68 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

It is a super-2 number, since 2×57949900968960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 57949900968960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 733543050201 + ... + 733543050279.

Almost surely, 2^{57949900968960} 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 57949900968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153818903347200).

57949900968960 is an abundant number, since it is smaller than the sum of its proper divisors (249687905725440).

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

57949900968960 is a wasteful number, since it uses less digits than its factorization.

57949900968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 81.

The spelling of 57949900968960 in words is "fifty-seven trillion, nine hundred forty-nine billion, nine hundred million, nine hundred sixty-eight thousand, nine hundred sixty".