57944568000 has 448 divisors, whose sum is σ = 221022038016. Its totient is φ = 13219840000.

The previous prime is 57944567977. The next prime is 57944568013. The reversal of 57944568000 is 86544975.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 4481545 + ... + 4494455.

Almost surely, 2^57944568000 is an apocalyptic number.

57944568000 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 57944568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110511019008).

57944568000 is an abundant number, since it is smaller than the sum of its proper divisors (163077470016).

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

57944568000 is a wasteful number, since it uses less digits than its factorization.

57944568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969 (or 12949 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 57944568000 in words is "fifty-seven billion, nine hundred forty-four million, five hundred sixty-eight thousand".