57118900 has 36 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 22712800.

The previous prime is 57118879. The next prime is 57118909. The reversal of 57118900 is 981175.

57118900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57118909) 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, 16305 + ... + 19495.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2^57118900 is an apocalyptic number.

57118900 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 57118900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

57118900 is an abundant number, since it is smaller than the sum of its proper divisors (67560620).

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

57118900 is a wasteful number, since it uses less digits than its factorization.

57118900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 57118900 is about 7557.7046780091. The cubic root of 57118900 is about 385.1175218895.

The spelling of 57118900 in words is "fifty-seven million, one hundred eighteen thousand, nine hundred".