57127680000 has 1200 divisors, whose sum is σ = 232188957000. Its totient is φ = 13934592000.

The previous prime is 57127679993. The next prime is 57127680011. The reversal of 57127680000 is 8672175.

57127680000 is a `hidden beast` number, since 571 + 2 + 7 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 99 ways as a sum of consecutive naturals, for example, 1969919986 + ... + 1969920014.

Almost surely, 2^57127680000 is an apocalyptic number.

57127680000 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 57127680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116094478500).

57127680000 is an abundant number, since it is smaller than the sum of its proper divisors (175061277000).

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

57127680000 is an equidigital number, since it uses as much as digits as its factorization.

57127680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 57127680000 in words is "fifty-seven billion, one hundred twenty-seven million, six hundred eighty thousand".