57857794560 has 480 divisors, whose sum is σ = 220062915072. Its totient is φ = 14518517760.

The previous prime is 57857794559. The next prime is 57857794571. The reversal of 57857794560 is 6549775875.

57857794560 is a `hidden beast` number, since 5 + 7 + 8 + 577 + 9 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10572625 + ... + 10578095.

Almost surely, 2^57857794560 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 57857794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110031457536).

57857794560 is an abundant number, since it is smaller than the sum of its proper divisors (162205120512).

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

57857794560 is an equidigital number, since it uses as much as digits as its factorization.

57857794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 57857794560 in words is "fifty-seven billion, eight hundred fifty-seven million, seven hundred ninety-four thousand, five hundred sixty".