56328180480 has 864 divisors, whose sum is σ = 236561375232. Its totient is φ = 12187238400.

The previous prime is 56328180473. The next prime is 56328180523. The reversal of 56328180480 is 8408182365.

56328180480 is a `hidden beast` number, since 5 + 632 + 8 + 1 + 8 + 0 + 4 + 8 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 51067609 + ... + 51068711.

It is an arithmetic number, because the mean of its divisors is an integer number (273797888).

Almost surely, 2^56328180480 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 56328180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118280687616).

56328180480 is an abundant number, since it is smaller than the sum of its proper divisors (180233194752).

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

56328180480 is a wasteful number, since it uses less digits than its factorization.

56328180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 56328180480 in words is "fifty-six billion, three hundred twenty-eight million, one hundred eighty thousand, four hundred eighty".