57535520 has 96 divisors (see below), whose sum is σ = 158796288. Its totient is φ = 19289088.

The previous prime is 57535501. The next prime is 57535523. The reversal of 57535520 is 2553575.

57535520 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 (32).

It is not an unprimeable number, because it can be changed into a prime (57535523) 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 15 ways as a sum of consecutive naturals, for example, 52094 + ... + 53186.

It is an arithmetic number, because the mean of its divisors is an integer number (1654128).

Almost surely, 2^57535520 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 57535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79398144).

57535520 is an abundant number, since it is smaller than the sum of its proper divisors (101260768).

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

57535520 is a wasteful number, since it uses less digits than its factorization.

57535520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 32.

The square root of 57535520 is about 7585.2172019000. The cubic root of 57535520 is about 386.0515918047.

The spelling of 57535520 in words is "fifty-seven million, five hundred thirty-five thousand, five hundred twenty".