79660896075000 has 1152 divisors, whose sum is σ = 285160473561600. Its totient is φ = 20060352000000.

The previous prime is 79660896074993. The next prime is 79660896075041. The reversal of 79660896075000 is 57069806697.

79660896075000 is a `hidden beast` number, since 7 + 9 + 6 + 60 + 8 + 9 + 60 + 7 + 500 + 0 = 666.

It is a congruent number.

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, 84655574530 + ... + 84655575470.

It is an arithmetic number, because the mean of its divisors is an integer number (247535133300).

Almost surely, 2^{79660896075000} 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 79660896075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142580236780800).

79660896075000 is an abundant number, since it is smaller than the sum of its proper divisors (205499577486600).

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

79660896075000 is a wasteful number, since it uses less digits than its factorization.

79660896075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 79660896075000 in words is "seventy-nine trillion, six hundred sixty billion, eight hundred ninety-six million, seventy-five thousand".