79408512000 has 1232 divisors, whose sum is σ = 318315246912. Its totient is φ = 19707494400.

The previous prime is 79408511939. The next prime is 79408512017. The reversal of 79408512000 is 21580497.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 2146175982 + ... + 2146176018.

Almost surely, 2^79408512000 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 79408512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159157623456).

79408512000 is an abundant number, since it is smaller than the sum of its proper divisors (238906734912).

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

79408512000 is an equidigital number, since it uses as much as digits as its factorization.

79408512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 79408512000 in words is "seventy-nine billion, four hundred eight million, five hundred twelve thousand".