57755520 has 192 divisors, whose sum is σ = 205583040. Its totient is φ = 14929920.

The previous prime is 57755491. The next prime is 57755521. The reversal of 57755520 is 2555775.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57755521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212985 + ... + 213255.

It is an arithmetic number, because the mean of its divisors is an integer number (1070745).

Almost surely, 2^57755520 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 57755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102791520).

57755520 is an abundant number, since it is smaller than the sum of its proper divisors (147827520).

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

57755520 is a wasteful number, since it uses less digits than its factorization.

57755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 57755520 is about 7599.7052574426. The cubic root of 57755520 is about 386.5430176705.

The spelling of 57755520 in words is "fifty-seven million, seven hundred fifty-five thousand, five hundred twenty".