57168492044400 has 1800 divisors, whose sum is σ = 240931705446432. Its totient is φ = 12926656512000.

The previous prime is 57168492044393. The next prime is 57168492044471. The reversal of 57168492044400 is 444029486175.

57168492044400 is a `hidden beast` number, since 5 + 71 + 6 + 8 + 492 + 0 + 44 + 40 + 0 = 666.

57168492044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7531084605 + ... + 7531092195.

Almost surely, 2^{57168492044400} is an apocalyptic number.

57168492044400 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 57168492044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120465852723216).

57168492044400 is an abundant number, since it is smaller than the sum of its proper divisors (183763213402032).

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

57168492044400 is a wasteful number, since it uses less digits than its factorization.

57168492044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 57168492044400 in words is "fifty-seven trillion, one hundred sixty-eight billion, four hundred ninety-two million, forty-four thousand, four hundred".