56480132736 has 256 divisors, whose sum is σ = 172907136000. Its totient is φ = 18128646144.

The previous prime is 56480132719. The next prime is 56480132743. The reversal of 56480132736 is 63723108465.

56480132736 is a `hidden beast` number, since 5 + 6 + 480 + 132 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56480132691 and 56480132700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65445841 + ... + 65446703.

It is an arithmetic number, because the mean of its divisors is an integer number (675418500).

Almost surely, 2^56480132736 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 56480132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86453568000).

56480132736 is an abundant number, since it is smaller than the sum of its proper divisors (116427003264).

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

56480132736 is a wasteful number, since it uses less digits than its factorization.

56480132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56480132736 in words is "fifty-six billion, four hundred eighty million, one hundred thirty-two thousand, seven hundred thirty-six".