57542800 has 60 divisors (see below), whose sum is σ = 158003776. Its totient is φ = 19728000.

The previous prime is 57542767. The next prime is 57542809. The reversal of 57542800 is 824575.

It is a super-2 number, since 2×57542800² = 6622347663680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57542809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7476 + ... + 13075.

Almost surely, 2^57542800 is an apocalyptic number.

57542800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57542800 is an abundant number, since it is smaller than the sum of its proper divisors (100460976).

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

57542800 is a wasteful number, since it uses less digits than its factorization.

57542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20576 (or 20565 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 57542800 is about 7585.6970675080. The cubic root of 57542800 is about 386.0678735559.

The spelling of 57542800 in words is "fifty-seven million, five hundred forty-two thousand, eight hundred".