79056904385844 has 2304 divisors, whose sum is σ = 293096079360000. Its totient is φ = 18330912230400.

The previous prime is 79056904385803. The next prime is 79056904385909. The reversal of 79056904385844 is 44858340965097.

79056904385844 is a `hidden beast` number, since 7 + 9 + 0 + 5 + 6 + 9 + 0 + 4 + 38 + 584 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 92681012922 + ... + 92681013774.

It is an arithmetic number, because the mean of its divisors is an integer number (127211840000).

Almost surely, 2^{79056904385844} 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 79056904385844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146548039680000).

79056904385844 is an abundant number, since it is smaller than the sum of its proper divisors (214039174974156).

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

79056904385844 is a wasteful number, since it uses less digits than its factorization.

79056904385844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 79056904385844 in words is "seventy-nine trillion, fifty-six billion, nine hundred four million, three hundred eighty-five thousand, eight hundred forty-four".