79591574400000 has 1056 divisors, whose sum is σ = 286275097221120. Its totient is φ = 19542466560000.

The previous prime is 79591574399957. The next prime is 79591574400029. The reversal of 79591574400000 is 447519597.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89731199557 + ... + 89731200443.

Almost surely, 2^{79591574400000} 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 79591574400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143137548610560).

79591574400000 is an abundant number, since it is smaller than the sum of its proper divisors (206683522821120).

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

79591574400000 is an equidigital number, since it uses as much as digits as its factorization.

79591574400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 79591574400000 in words is "seventy-nine trillion, five hundred ninety-one billion, five hundred seventy-four million, four hundred thousand".