56328394844160 has 768 divisors, whose sum is σ = 204449368032000. Its totient is φ = 14705598136320.

The previous prime is 56328394844087. The next prime is 56328394844221. The reversal of 56328394844160 is 6144849382365.

56328394844160 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 8 + 394 + 84 + 4 + 160 = 666.

56328394844160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×56328394844160² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7194835126 + ... + 7194842954.

It is an arithmetic number, because the mean of its divisors is an integer number (266210114625).

Almost surely, 2^{56328394844160} 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 56328394844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102224684016000).

56328394844160 is an abundant number, since it is smaller than the sum of its proper divisors (148120973187840).

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

56328394844160 is a wasteful number, since it uses less digits than its factorization.

56328394844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 56328394844160 in words is "fifty-six trillion, three hundred twenty-eight billion, three hundred ninety-four million, eight hundred forty-four thousand, one hundred sixty".