557517542112864 has 192 divisors, whose sum is σ = 1711696663353600. Its totient is φ = 176056114166784.

The previous prime is 557517542112851. The next prime is 557517542112877. The reversal of 557517542112864 is 468211245715755.

557517542112864 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 1 + 7 + 542 + 1 + 1 + 2 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (557517542112851) and next prime (557517542112877).

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, 2050337364 + ... + 2050609260.

It is an arithmetic number, because the mean of its divisors is an integer number (8915086788300).

Almost surely, 2^{557517542112864} is an apocalyptic number.

557517542112864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

557517542112864 is an abundant number, since it is smaller than the sum of its proper divisors (1154179121240736).

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

557517542112864 is a wasteful number, since it uses less digits than its factorization.

557517542112864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396842 (or 396828 counting only the distinct ones).

The product of its digits is 94080000, while the sum is 63.

The spelling of 557517542112864 in words is "five hundred fifty-seven trillion, five hundred seventeen billion, five hundred forty-two million, one hundred twelve thousand, eight hundred sixty-four".