56480484060 has 1728 divisors, whose sum is σ = 256759372800. Its totient is φ = 10186767360.

The previous prime is 56480484019. The next prime is 56480484077. The reversal of 56480484060 is 6048408465.

56480484060 is a `hidden beast` number, since 564 + 8 + 0 + 4 + 84 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56480483997 and 56480484015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 957296311 + ... + 957296369.

It is an arithmetic number, because the mean of its divisors is an integer number (148587600).

Almost surely, 2^56480484060 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 56480484060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128379686400).

56480484060 is an abundant number, since it is smaller than the sum of its proper divisors (200278888740).

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

56480484060 is a wasteful number, since it uses less digits than its factorization.

56480484060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 56480484060 in words is "fifty-six billion, four hundred eighty million, four hundred eighty-four thousand, sixty".