56308621824 has 640 divisors, whose sum is σ = 217291092480. Its totient is φ = 13971750912.

The previous prime is 56308621793. The next prime is 56308621829. The reversal of 56308621824 is 42812680365.

56308621824 is a `hidden beast` number, since 5 + 630 + 8 + 6 + 2 + 1 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56308621824.

It is not an unprimeable number, because it can be changed into a prime (56308621829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21384412 + ... + 21387044.

It is an arithmetic number, because the mean of its divisors is an integer number (339517332).

Almost surely, 2^56308621824 is an apocalyptic number.

56308621824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56308621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108645546240).

56308621824 is an abundant number, since it is smaller than the sum of its proper divisors (160982470656).

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

56308621824 is a wasteful number, since it uses less digits than its factorization.

56308621824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56308621824 in words is "fifty-six billion, three hundred eight million, six hundred twenty-one thousand, eight hundred twenty-four".