57120888825 has 432 divisors, whose sum is σ = 144348350400. Its totient is φ = 21888921600.

The previous prime is 57120888821. The next prime is 57120888829. The reversal of 57120888825 is 52888802175.

It is an interprime number because it is at equal distance from previous prime (57120888821) and next prime (57120888829).

It is not a de Polignac number, because 57120888825 - 2² = 57120888821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57120888821) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 61485961 + ... + 61486889.

It is an arithmetic number, because the mean of its divisors is an integer number (334139700).

Almost surely, 2^57120888825 is an apocalyptic number.

57120888825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57120888825 is an abundant number, since it is smaller than the sum of its proper divisors (87227461575).

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

57120888825 is a wasteful number, since it uses less digits than its factorization.

57120888825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 57120888825 in words is "fifty-seven billion, one hundred twenty million, eight hundred eighty-eight thousand, eight hundred twenty-five".