557086874400 has 576 divisors, whose sum is σ = 2312911964160. Its totient is φ = 126765388800.

The previous prime is 557086874389. The next prime is 557086874417. The reversal of 557086874400 is 4478680755.

557086874400 is a `hidden beast` number, since 5 + 570 + 8 + 68 + 7 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×557086874400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34314285 + ... + 34330515.

It is an arithmetic number, because the mean of its divisors is an integer number (4015472160).

Almost surely, 2^557086874400 is an apocalyptic number.

557086874400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557086874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156455982080).

557086874400 is an abundant number, since it is smaller than the sum of its proper divisors (1755825089760).

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

557086874400 is a wasteful number, since it uses less digits than its factorization.

557086874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16494 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 557086874400 in words is "five hundred fifty-seven billion, eighty-six million, eight hundred seventy-four thousand, four hundred".