79447574107200 has 2016 divisors, whose sum is σ = 308355132579840. Its totient is φ = 17832031027200.

The previous prime is 79447574107151. The next prime is 79447574107217. The reversal of 79447574107200 is 270147574497.

79447574107200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122793777277 + ... + 122793777923.

Almost surely, 2^{79447574107200} 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 79447574107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154177566289920).

79447574107200 is an abundant number, since it is smaller than the sum of its proper divisors (228907558472640).

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

79447574107200 is a wasteful number, since it uses less digits than its factorization.

79447574107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 57.

The spelling of 79447574107200 in words is "seventy-nine trillion, four hundred forty-seven billion, five hundred seventy-four million, one hundred seven thousand, two hundred".