57112800 has 144 divisors (see below), whose sum is σ = 189831600. Its totient is φ = 14909440.

The previous prime is 57112787. The next prime is 57112823. The reversal of 57112800 is 821175.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126976 + ... + 127424.

It is an arithmetic number, because the mean of its divisors is an integer number (1318275).

Almost surely, 2^57112800 is an apocalyptic number.

57112800 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 57112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94915800).

57112800 is an abundant number, since it is smaller than the sum of its proper divisors (132718800).

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

57112800 is a wasteful number, since it uses less digits than its factorization.

57112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 57112800 is about 7557.3011055535. The cubic root of 57112800 is about 385.1038118886.

Adding to 57112800 its reverse (821175), we get a palindrome (57933975).

The spelling of 57112800 in words is "fifty-seven million, one hundred twelve thousand, eight hundred".