57382525200 has 1920 divisors, whose sum is σ = 269806731264. Its totient is φ = 10036224000.

The previous prime is 57382525171. The next prime is 57382525217. The reversal of 57382525200 is 252528375.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 856455567 + ... + 856455633.

Almost surely, 2^57382525200 is an apocalyptic number.

57382525200 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 57382525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134903365632).

57382525200 is an abundant number, since it is smaller than the sum of its proper divisors (212424206064).

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

57382525200 is a wasteful number, since it uses less digits than its factorization.

57382525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 57382525200 in words is "fifty-seven billion, three hundred eighty-two million, five hundred twenty-five thousand, two hundred".