79947305856000 has 1320 divisors, whose sum is σ = 327498821377728. Its totient is φ = 19380860928000.

The previous prime is 79947305855941. The next prime is 79947305856149. The reversal of 79947305856000 is 65850374997.

79947305856000 is a `hidden beast` number, since 7 + 9 + 9 + 47 + 3 + 0 + 585 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1254496137 + ... + 1254559863.

Almost surely, 2^{79947305856000} 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 79947305856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749410688864).

79947305856000 is an abundant number, since it is smaller than the sum of its proper divisors (247551515521728).

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

79947305856000 is a wasteful number, since it uses less digits than its factorization.

79947305856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63796 (or 63748 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 79947305856000 in words is "seventy-nine trillion, nine hundred forty-seven billion, three hundred five million, eight hundred fifty-six thousand".