57512198016 has 672 divisors, whose sum is σ = 212996232720. Its totient is φ = 15138938880.

The previous prime is 57512197999. The next prime is 57512198033. The reversal of 57512198016 is 61089121575.

57512198016 is a `hidden beast` number, since 57 + 512 + 1 + 9 + 80 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (57512197999) and next prime (57512198033).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 110387836 + ... + 110388356.

Almost surely, 2^57512198016 is an apocalyptic number.

57512198016 is a gapful number since it is divisible by the number (56) 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 57512198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106498116360).

57512198016 is an abundant number, since it is smaller than the sum of its proper divisors (155484034704).

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

57512198016 is an equidigital number, since it uses as much as digits as its factorization.

57512198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 57512198016 in words is "fifty-seven billion, five hundred twelve million, one hundred ninety-eight thousand, sixteen".