79508864856960 has 5376 divisors, whose sum is σ = 382598546688000. Its totient is φ = 15648198451200.

The previous prime is 79508864856923. The next prime is 79508864856977. The reversal of 79508864856960 is 6965846880597.

79508864856960 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 8 + 8 + 6 + 48 + 569 + 6 + 0 = 666.

It is a super-3 number, since 3×79508864856960³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 79508864856960.

It is a congruent number.

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 671 ways as a sum of consecutive naturals, for example, 1691677975657 + ... + 1691677975703.

Almost surely, 2^{79508864856960} is an apocalyptic number.

79508864856960 is a gapful number since it is divisible by the number (70) 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 79508864856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191299273344000).

79508864856960 is an abundant number, since it is smaller than the sum of its proper divisors (303089681831040).

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

79508864856960 is an equidigital number, since it uses as much as digits as its factorization.

79508864856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 79508864856960 in words is "seventy-nine trillion, five hundred eight billion, eight hundred sixty-four million, eight hundred fifty-six thousand, nine hundred sixty".