57974870016 has 624 divisors, whose sum is σ = 203506902144. Its totient is φ = 16148201472.

The previous prime is 57974869999. The next prime is 57974870027. The reversal of 57974870016 is 61007847975.

It is a super-2 number, since 2×57974870016² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369266610 + ... + 369266766.

It is an arithmetic number, because the mean of its divisors is an integer number (326132856).

Almost surely, 2^57974870016 is an apocalyptic number.

57974870016 is a gapful number since it is divisible by the number (56) 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 57974870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101753451072).

57974870016 is an abundant number, since it is smaller than the sum of its proper divisors (145532032128).

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

57974870016 is an equidigital number, since it uses as much as digits as its factorization.

57974870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 57974870016 in words is "fifty-seven billion, nine hundred seventy-four million, eight hundred seventy thousand, sixteen".