57775992014400 has 1344 divisors, whose sum is σ = 221303292825600. Its totient is φ = 13058490368000.

The previous prime is 57775992014399. The next prime is 57775992014413. The reversal of 57775992014400 is 441029957775.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7673789836 + ... + 7673797364.

Almost surely, 2^{57775992014400} is an apocalyptic number.

57775992014400 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 57775992014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110651646412800).

57775992014400 is an abundant number, since it is smaller than the sum of its proper divisors (163527300811200).

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

57775992014400 is a wasteful number, since it uses less digits than its factorization.

57775992014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 57775992014400 in words is "fifty-seven trillion, seven hundred seventy-five billion, nine hundred ninety-two million, fourteen thousand, four hundred".