57525600 has 144 divisors (see below), whose sum is σ = 204361920. Its totient is φ = 13939200.

The previous prime is 57525499. The next prime is 57525619. The reversal of 57525600 is 652575.

57525600 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 (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25311 + ... + 27489.

It is an arithmetic number, because the mean of its divisors is an integer number (1419180).

Almost surely, 2^57525600 is an apocalyptic number.

57525600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102180960).

57525600 is an abundant number, since it is smaller than the sum of its proper divisors (146836320).

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

57525600 is a wasteful number, since it uses less digits than its factorization.

57525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 57525600 is about 7584.5632702220. The cubic root of 57525600 is about 386.0294034713.

The spelling of 57525600 in words is "fifty-seven million, five hundred twenty-five thousand, six hundred".