57975120 has 120 divisors (see below), whose sum is σ = 222533376. Its totient is φ = 13250304.

The previous prime is 57975109. The next prime is 57975133. The reversal of 57975120 is 2157975.

57975120 is a `hidden beast` number, since 57 + 97 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57975120² = 6722229078028800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 712 + ... + 10791.

Almost surely, 2^57975120 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 57975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111266688).

57975120 is an abundant number, since it is smaller than the sum of its proper divisors (164558256).

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

57975120 is a wasteful number, since it uses less digits than its factorization.

57975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 57975120 is about 7614.1394786279. The cubic root of 57975120 is about 387.0323070599.

The spelling of 57975120 in words is "fifty-seven million, nine hundred seventy-five thousand, one hundred twenty".