56952757349376 has 704 divisors, whose sum is σ = 184418682961920. Its totient is φ = 15264190955520.

The previous prime is 56952757349359. The next prime is 56952757349381. The reversal of 56952757349376 is 67394375725965.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32488736916 + ... + 32488738668.

It is an arithmetic number, because the mean of its divisors is an integer number (261958356480).

Almost surely, 2^{56952757349376} is an apocalyptic number.

56952757349376 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 56952757349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92209341480960).

56952757349376 is an abundant number, since it is smaller than the sum of its proper divisors (127465925612544).

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

56952757349376 is a wasteful number, since it uses less digits than its factorization.

56952757349376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2522 counting only the distinct ones).

The product of its digits is 9001692000, while the sum is 78.

The spelling of 56952757349376 in words is "fifty-six trillion, nine hundred fifty-two billion, seven hundred fifty-seven million, three hundred forty-nine thousand, three hundred seventy-six".