57936985344 has 648 divisors, whose sum is σ = 204835044960. Its totient is φ = 16282570752.

The previous prime is 57936985339. The next prime is 57936985357. The reversal of 57936985344 is 44358963975.

57936985344 is a `hidden beast` number, since 5 + 7 + 9 + 3 + 6 + 98 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (97977600) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 252999822 + ... + 253000050.

Almost surely, 2^57936985344 is an apocalyptic number.

57936985344 is a gapful number since it is divisible by the number (54) 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 57936985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102417522480).

57936985344 is an abundant number, since it is smaller than the sum of its proper divisors (146898059616).

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

57936985344 is an equidigital number, since it uses as much as digits as its factorization.

57936985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 324 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 57936985344 in words is "fifty-seven billion, nine hundred thirty-six million, nine hundred eighty-five thousand, three hundred forty-four".