56363186880 has 2240 divisors, whose sum is σ = 286858252800. Its totient is φ = 10241925120.

The previous prime is 56363186879. The next prime is 56363186953. The reversal of 56363186880 is 8868136365.

56363186880 is a `hidden beast` number, since 563 + 6 + 3 + 18 + 68 + 8 + 0 = 666.

56363186880 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 (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2966483511 + ... + 2966483529.

It is an arithmetic number, because the mean of its divisors is an integer number (128061720).

Almost surely, 2^56363186880 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 56363186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143429126400).

56363186880 is an abundant number, since it is smaller than the sum of its proper divisors (230495065920).

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

56363186880 is a wasteful number, since it uses less digits than its factorization.

56363186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

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

The spelling of 56363186880 in words is "fifty-six billion, three hundred sixty-three million, one hundred eighty-six thousand, eight hundred eighty".