57395520 has 448 divisors, whose sum is σ = 252618240. Its totient is φ = 11943936.

The previous prime is 57395509. The next prime is 57395623. The reversal of 57395520 is 2559375.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786204 + ... + 786276.

It is an arithmetic number, because the mean of its divisors is an integer number (563880).

Almost surely, 2^57395520 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 57395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309120).

57395520 is an abundant number, since it is smaller than the sum of its proper divisors (195222720).

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

57395520 is a wasteful number, since it uses less digits than its factorization.

57395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 57395520 is about 7575.9831045218. The cubic root of 57395520 is about 385.7382136831.

The spelling of 57395520 in words is "fifty-seven million, three hundred ninety-five thousand, five hundred twenty".