557361365288832 has 256 divisors, whose sum is σ = 1800569292648000. Its totient is φ = 168684397240320.

The previous prime is 557361365288701. The next prime is 557361365288857. The reversal of 557361365288832 is 238882563163755.

557361365288832 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 6 + 13 + 6 + 528 + 8 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98945107 + ... + 104426322.

Almost surely, 2^{557361365288832} is an apocalyptic number.

557361365288832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

557361365288832 is an abundant number, since it is smaller than the sum of its proper divisors (1243207927359168).

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

557361365288832 is a wasteful number, since it uses less digits than its factorization.

557361365288832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203371526 (or 203371508 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 72.

The spelling of 557361365288832 in words is "five hundred fifty-seven trillion, three hundred sixty-one billion, three hundred sixty-five million, two hundred eighty-eight thousand, eight hundred thirty-two".