57976617231232 has 384 divisors, whose sum is σ = 146152468500480. Its totient is φ = 22411114905600.

The previous prime is 57976617231229. The next prime is 57976617231257. The reversal of 57976617231232 is 23213271667975.

It is a super-4 number, since 4×57976617231232⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 826773132 + ... + 826843252.

It is an arithmetic number, because the mean of its divisors is an integer number (380605386720).

Almost surely, 2^{57976617231232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57976617231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73076234250240).

57976617231232 is an abundant number, since it is smaller than the sum of its proper divisors (88175851269248).

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

57976617231232 is a wasteful number, since it uses less digits than its factorization.

57976617231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70310 (or 70281 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 61.

The spelling of 57976617231232 in words is "fifty-seven trillion, nine hundred seventy-six billion, six hundred seventeen million, two hundred thirty-one thousand, two hundred thirty-two".