57620125872 has 320 divisors, whose sum is σ = 176538700800. Its totient is φ = 17955717120.

The previous prime is 57620125841. The next prime is 57620125879. The reversal of 57620125872 is 27852102675.

57620125872 is a `hidden beast` number, since 5 + 7 + 62 + 0 + 1 + 2 + 587 + 2 = 666.

57620125872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57620125879) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89890672 + ... + 89891312.

It is an arithmetic number, because the mean of its divisors is an integer number (551683440).

Almost surely, 2^57620125872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57620125872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88269350400).

57620125872 is an abundant number, since it is smaller than the sum of its proper divisors (118918574928).

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

57620125872 is a wasteful number, since it uses less digits than its factorization.

57620125872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 57620125872 in words is "fifty-seven billion, six hundred twenty million, one hundred twenty-five thousand, eight hundred seventy-two".