57681388800 has 972 divisors, whose sum is σ = 243402921216. Its totient is φ = 12992716800.

The previous prime is 57681388769. The next prime is 57681388819. The reversal of 57681388800 is 888318675.

It is a happy number.

It is a super-2 number, since 2×57681388800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 301996705 + ... + 301996895.

It is an arithmetic number, because the mean of its divisors is an integer number (250414528).

Almost surely, 2^57681388800 is an apocalyptic number.

57681388800 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 57681388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121701460608).

57681388800 is an abundant number, since it is smaller than the sum of its proper divisors (185721532416).

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

57681388800 is a wasteful number, since it uses less digits than its factorization.

57681388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 57681388800 in words is "fifty-seven billion, six hundred eighty-one million, three hundred eighty-eight thousand, eight hundred".