56005104372624 has 640 divisors, whose sum is σ = 186924310364160. Its totient is φ = 15866722713600.

The previous prime is 56005104372601. The next prime is 56005104372653. The reversal of 56005104372624 is 42627340150065.

56005104372624 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 5 + 10 + 4 + 3 + 7 + 2 + 624 = 666.

56005104372624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56005104372624.

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 127 ways as a sum of consecutive naturals, for example, 7728036169 + ... + 7728043415.

It is an arithmetic number, because the mean of its divisors is an integer number (292069234944).

Almost surely, 2^{56005104372624} is an apocalyptic number.

56005104372624 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 56005104372624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93462155182080).

56005104372624 is an abundant number, since it is smaller than the sum of its proper divisors (130919205991536).

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

56005104372624 is a wasteful number, since it uses less digits than its factorization.

56005104372624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 56005104372624 in words is "fifty-six trillion, five billion, one hundred four million, three hundred seventy-two thousand, six hundred twenty-four".