57125040 has 160 divisors (see below), whose sum is σ = 208081920. Its totient is φ = 12690432.

The previous prime is 57125023. The next prime is 57125051. The reversal of 57125040 is 4052175.

57125040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57125040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61701 + ... + 62619.

It is an arithmetic number, because the mean of its divisors is an integer number (1300512).

Almost surely, 2^57125040 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 57125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104040960).

57125040 is an abundant number, since it is smaller than the sum of its proper divisors (150956880).

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

57125040 is a wasteful number, since it uses less digits than its factorization.

57125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 57125040 is about 7558.1108750798. The cubic root of 57125040 is about 385.1313208064.

The spelling of 57125040 in words is "fifty-seven million, one hundred twenty-five thousand, forty".