57355120 has 40 divisors (see below), whose sum is σ = 136460016. Its totient is φ = 22407168.

The previous prime is 57355117. The next prime is 57355121. The reversal of 57355120 is 2155375.

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 (57355121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4897 + ... + 11776.

Almost surely, 2^57355120 is an apocalyptic number.

It is an amenable number.

57355120 is an abundant number, since it is smaller than the sum of its proper divisors (79104896).

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

57355120 is a wasteful number, since it uses less digits than its factorization.

57355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16729 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 57355120 is about 7573.3163145349. The cubic root of 57355120 is about 385.6476869795.

It can be divided in two parts, 57355 and 120, that added together give a palindrome (57475).

The spelling of 57355120 in words is "fifty-seven million, three hundred fifty-five thousand, one hundred twenty".