57039120 has 80 divisors (see below), whose sum is σ = 196475520. Its totient is φ = 15209856.

The previous prime is 57039053. The next prime is 57039127. The reversal of 57039120 is 2193075.

57039120 is a `hidden beast` number, since 570 + 3 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57039120² = 6506922420748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (57039127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11044 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (2455944).

Almost surely, 2^57039120 is an apocalyptic number.

It is an amenable number.

57039120 is an abundant number, since it is smaller than the sum of its proper divisors (139436400).

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

57039120 is a wasteful number, since it uses less digits than its factorization.

57039120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26429 (or 26417 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57039120 is about 7552.4247761894. The cubic root of 57039120 is about 384.9381358967.

The spelling of 57039120 in words is "fifty-seven million, thirty-nine thousand, one hundred twenty".