57691647965952 has 1728 divisors, whose sum is σ = 229526245638144. Its totient is φ = 13452574556160.

The previous prime is 57691647965921. The next prime is 57691647965969. The reversal of 57691647965952 is 25956974619675.

57691647965952 is a `hidden beast` number, since 5 + 7 + 6 + 9 + 16 + 4 + 7 + 9 + 6 + 595 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18102178503 + ... + 18102181689.

It is an arithmetic number, because the mean of its divisors is an integer number (132827688448).

Almost surely, 2^{57691647965952} is an apocalyptic number.

57691647965952 is a gapful number since it is divisible by the number (52) 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 57691647965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114763122819072).

57691647965952 is an abundant number, since it is smaller than the sum of its proper divisors (171834597672192).

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

57691647965952 is a wasteful number, since it uses less digits than its factorization.

57691647965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3437 counting only the distinct ones).

The product of its digits is 7715736000, while the sum is 81.

The spelling of 57691647965952 in words is "fifty-seven trillion, six hundred ninety-one billion, six hundred forty-seven million, nine hundred sixty-five thousand, nine hundred fifty-two".