57125760 has 64 divisors (see below), whose sum is σ = 182094480. Its totient is φ = 15233024.

The previous prime is 57125749. The next prime is 57125779. The reversal of 57125760 is 6752175.

57125760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12957 + ... + 16796.

Almost surely, 2^57125760 is an apocalyptic number.

It is an amenable number.

57125760 is an abundant number, since it is smaller than the sum of its proper divisors (124968720).

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

57125760 is a wasteful number, since it uses less digits than its factorization.

57125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29775 (or 29763 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 57125760 is about 7558.1585058796. The cubic root of 57125760 is about 385.1329388557.

The spelling of 57125760 in words is "fifty-seven million, one hundred twenty-five thousand, seven hundred sixty".