56226971508480 has 1080 divisors, whose sum is σ = 213431955660000. Its totient is φ = 14131455934464.

The previous prime is 56226971508443. The next prime is 56226971508493. The reversal of 56226971508480 is 8480517962265.

56226971508480 is a `hidden beast` number, since 5 + 6 + 22 + 69 + 7 + 1 + 508 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×56226971508480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7448263746 + ... + 7448271294.

Almost surely, 2^{56226971508480} 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 56226971508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106715977830000).

56226971508480 is an abundant number, since it is smaller than the sum of its proper divisors (157204984151520).

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

56226971508480 is a wasteful number, since it uses less digits than its factorization.

56226971508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7819 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 56226971508480 in words is "fifty-six trillion, two hundred twenty-six billion, nine hundred seventy-one million, five hundred eight thousand, four hundred eighty".