51592368742656 has 1296 divisors, whose sum is σ = 173283910539264. Its totient is φ = 13577298223104.

The previous prime is 51592368742613. The next prime is 51592368742661. The reversal of 51592368742656 is 65624786329515.

It is a Harshad number since it is a multiple of its sum of digits (69).

Its product of digits (653184000) is a multiple of the sum of its prime divisors (972).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62688175461 + ... + 62688176283.

Almost surely, 2^{51592368742656} is an apocalyptic number.

51592368742656 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 51592368742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86641955269632).

51592368742656 is an abundant number, since it is smaller than the sum of its proper divisors (121691541796608).

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

51592368742656 is a wasteful number, since it uses less digits than its factorization.

51592368742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 972 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 69.

The spelling of 51592368742656 in words is "fifty-one trillion, five hundred ninety-two billion, three hundred sixty-eight million, seven hundred forty-two thousand, six hundred fifty-six".