557056116746600 has 384 divisors, whose sum is σ = 1340764271308800. Its totient is φ = 215150513356800.

The previous prime is 557056116746581. The next prime is 557056116746617. The reversal of 557056116746600 is 6647611650755.

It is a super-2 number, since 2×557056116746600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 557056116746600.

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, 230474188592 + ... + 230474191008.

It is an arithmetic number, because the mean of its divisors is an integer number (3491573623200).

Almost surely, 2^{557056116746600} is an apocalyptic number.

557056116746600 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 557056116746600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670382135654400).

557056116746600 is an abundant number, since it is smaller than the sum of its proper divisors (783708154562200).

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

557056116746600 is a wasteful number, since it uses less digits than its factorization.

557056116746600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 59.

The spelling of 557056116746600 in words is "five hundred fifty-seven trillion, fifty-six billion, one hundred sixteen million, seven hundred forty-six thousand, six hundred".