79291968320000 has 200 divisors, whose sum is σ = 198172331301516. Its totient is φ = 31684847616000.

The previous prime is 79291968319999. The next prime is 79291968320029. The reversal of 79291968320000 is 2386919297.

It can be written as a sum of positive squares in 10 ways, for example, as 5409829417216 + 73882138902784 = 2325904^2 + 8595472^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 318915734 + ... + 319164266.

Almost surely, 2^{79291968320000} 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 79291968320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99086165650758).

79291968320000 is an abundant number, since it is smaller than the sum of its proper divisors (118880362981516).

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

79291968320000 is an frugal number, since it uses more digits than its factorization.

79291968320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249568 (or 249537 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 56.

The spelling of 79291968320000 in words is "seventy-nine trillion, two hundred ninety-one billion, nine hundred sixty-eight million, three hundred twenty thousand".