56097647806464 has 576 divisors, whose sum is σ = 185022223626240. Its totient is φ = 16219090944000.

The previous prime is 56097647806451. The next prime is 56097647806481. The reversal of 56097647806464 is 46460874679065.

56097647806464 is a `hidden beast` number, since 5 + 6 + 0 + 97 + 6 + 4 + 78 + 0 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56097647806392 and 56097647806401.

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, 446194299 + ... + 446320005.

It is an arithmetic number, because the mean of its divisors is an integer number (321219138240).

Almost surely, 2^{56097647806464} 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 56097647806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92511111813120).

56097647806464 is an abundant number, since it is smaller than the sum of its proper divisors (128924575819776).

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

56097647806464 is a wasteful number, since it uses less digits than its factorization.

56097647806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125848 (or 125825 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 72.

The spelling of 56097647806464 in words is "fifty-six trillion, ninety-seven billion, six hundred forty-seven million, eight hundred six thousand, four hundred sixty-four".