557585568 has 72 divisors (see below), whose sum is σ = 1624342356. Its totient is φ = 181324800.

The previous prime is 557585557. The next prime is 557585603. The reversal of 557585568 is 865585755.

It is a happy number.

557585568 is a `hidden beast` number, since 5 + 5 + 7 + 585 + 56 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 455737104 + 101848464 = 21348^2 + 10092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11803 + ... + 35418.

Almost surely, 2^557585568 is an apocalyptic number.

It is an amenable number.

557585568 is an abundant number, since it is smaller than the sum of its proper divisors (1066756788).

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

557585568 is a wasteful number, since it uses less digits than its factorization.

557585568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47278 (or 47267 counting only the distinct ones).

The product of its digits is 8400000, while the sum is 54.

The square root of 557585568 is about 23613.2498398674. The cubic root of 557585568 is about 823.0707625770.

The spelling of 557585568 in words is "five hundred fifty-seven million, five hundred eighty-five thousand, five hundred sixty-eight".