56801137115718 has 192 divisors, whose sum is σ = 129706540704000. Its totient is φ = 17940099760128.

The previous prime is 56801137115641. The next prime is 56801137115731. The reversal of 56801137115718 is 81751173110865.

It is a happy number.

56801137115718 is a `hidden beast` number, since 5 + 68 + 0 + 1 + 1 + 3 + 7 + 1 + 1 + 571 + 8 = 666.

It is a super-2 number, since 2×56801137115718² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11850850330 + ... + 11850855122.

It is an arithmetic number, because the mean of its divisors is an integer number (675554899500).

Almost surely, 2^{56801137115718} is an apocalyptic number.

56801137115718 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56801137115718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64853270352000).

56801137115718 is an abundant number, since it is smaller than the sum of its proper divisors (72905403588282).

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

56801137115718 is a wasteful number, since it uses less digits than its factorization.

56801137115718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 54.

The spelling of 56801137115718 in words is "fifty-six trillion, eight hundred one billion, one hundred thirty-seven million, one hundred fifteen thousand, seven hundred eighteen".