57681860400 has 240 divisors, whose sum is σ = 210854932000. Its totient is φ = 14966000640.

The previous prime is 57681860389. The next prime is 57681860447. The reversal of 57681860400 is 406818675.

It is a happy number.

57681860400 is a `hidden beast` number, since 5 + 7 + 68 + 186 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327426 + ... + 471774.

Almost surely, 2^57681860400 is an apocalyptic number.

57681860400 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 57681860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105427466000).

57681860400 is an abundant number, since it is smaller than the sum of its proper divisors (153173071600).

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

57681860400 is a wasteful number, since it uses less digits than its factorization.

57681860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144413 (or 144396 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 57681860400 in words is "fifty-seven billion, six hundred eighty-one million, eight hundred sixty thousand, four hundred".