56480617163520 has 720 divisors, whose sum is σ = 220754168667648. Its totient is φ = 13674655457280.

The previous prime is 56480617163491. The next prime is 56480617163527. The reversal of 56480617163520 is 2536171608465.

It is a happy number.

56480617163520 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 0 + 617 + 16 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×56480617163520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56480617163527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 897526297 + ... + 897589223.

Almost surely, 2^{56480617163520} 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 56480617163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110377084333824).

56480617163520 is an abundant number, since it is smaller than the sum of its proper divisors (164273551504128).

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

56480617163520 is a wasteful number, since it uses less digits than its factorization.

56480617163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63758 (or 63735 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56480617163520 in words is "fifty-six trillion, four hundred eighty billion, six hundred seventeen million, one hundred sixty-three thousand, five hundred twenty".