57998125584 has 405 divisors, whose sum is σ = 196131704301. Its totient is φ = 15952446720.

The previous prime is 57998125579. The next prime is 57998125607. The reversal of 57998125584 is 48552189975.

The square root of 57998125584 is 240828.

It is a perfect power (a square), and thus also a powerful number.

57998125584 is a `hidden beast` number, since 5 + 79 + 9 + 8 + 1 + 2 + 558 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1885991184 + 56112134400 = 43428^2 + 236880^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (36288000) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 950788914 + ... + 950788974.

Almost surely, 2^57998125584 is an apocalyptic number.

57998125584 is the 240828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57998125584

57998125584 is an abundant number, since it is smaller than the sum of its proper divisors (138133578717).

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

57998125584 is a wasteful number, since it uses less digits than its factorization.

57998125584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 120 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 63.

The spelling of 57998125584 in words is "fifty-seven billion, nine hundred ninety-eight million, one hundred twenty-five thousand, five hundred eighty-four".