79991205913920 has 2688 divisors, whose sum is σ = 332047089690624. Its totient is φ = 16190583865344.

The previous prime is 79991205913919. The next prime is 79991205913979. The reversal of 79991205913920 is 2931950219997.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 134892421144 + ... + 134892421736.

It is an arithmetic number, because the mean of its divisors is an integer number (123529423248).

Almost surely, 2^{79991205913920} is an apocalyptic number.

79991205913920 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 79991205913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166023544845312).

79991205913920 is an abundant number, since it is smaller than the sum of its proper divisors (252055883776704).

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

79991205913920 is a wasteful number, since it uses less digits than its factorization.

79991205913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 24800580, while the sum is 66.

The spelling of 79991205913920 in words is "seventy-nine trillion, nine hundred ninety-one billion, two hundred five million, nine hundred thirteen thousand, nine hundred twenty".