57755120 has 40 divisors (see below), whose sum is σ = 142182864. Its totient is φ = 21742592.

The previous prime is 57755111. The next prime is 57755129. The reversal of 57755120 is 2155775.

57755120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57755111) and next prime (57755129).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57755129) by changing a digit.

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, 19874 + ... + 22593.

Almost surely, 2^57755120 is an apocalyptic number.

It is an amenable number.

57755120 is an abundant number, since it is smaller than the sum of its proper divisors (84427744).

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

57755120 is a wasteful number, since it uses less digits than its factorization.

57755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42497 (or 42491 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 32.

The square root of 57755120 is about 7599.6789405869. The cubic root of 57755120 is about 386.5421253024.

It can be divided in two parts, 57755 and 120, that added together give a palindrome (57875).

The spelling of 57755120 in words is "fifty-seven million, seven hundred fifty-five thousand, one hundred twenty".