56481384960 has 1920 divisors, whose sum is σ = 274542428160. Its totient is φ = 10351411200.

The previous prime is 56481384941. The next prime is 56481385027. The reversal of 56481384960 is 6948318465.

56481384960 is a `hidden beast` number, since 564 + 8 + 1 + 38 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a junction number, because it is equal to n+sod(n) for n = 56481384897 and 56481384906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 714954201 + ... + 714954279.

It is an arithmetic number, because the mean of its divisors is an integer number (142990848).

Almost surely, 2^56481384960 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 56481384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137271214080).

56481384960 is an abundant number, since it is smaller than the sum of its proper divisors (218061043200).

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

56481384960 is a wasteful number, since it uses less digits than its factorization.

56481384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 56481384960 in words is "fifty-six billion, four hundred eighty-one million, three hundred eighty-four thousand, nine hundred sixty".