57553700 has 36 divisors (see below), whose sum is σ = 125833092. Its totient is φ = 22848000.

The previous prime is 57553693. The next prime is 57553703. The reversal of 57553700 is 735575.

57553700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7540516 + 50013184 = 2746^2 + 7072^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57553703) 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 11 ways as a sum of consecutive naturals, for example, 11600 + ... + 15800.

Almost surely, 2^57553700 is an apocalyptic number.

57553700 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 57553700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62916546).

57553700 is an abundant number, since it is smaller than the sum of its proper divisors (68279392).

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

57553700 is a wasteful number, since it uses less digits than its factorization.

57553700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 18375, while the sum is 32.

The square root of 57553700 is about 7586.4154908626. The cubic root of 57553700 is about 386.0922488854.

The spelling of 57553700 in words is "fifty-seven million, five hundred fifty-three thousand, seven hundred".