79188295680 has 1024 divisors, whose sum is σ = 325011657600. Its totient is φ = 18345885696.

The previous prime is 79188295673. The next prime is 79188295699. The reversal of 79188295680 is 8659288197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4658135032 + ... + 4658135048.

Almost surely, 2^79188295680 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 79188295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162505828800).

79188295680 is an abundant number, since it is smaller than the sum of its proper divisors (245823361920).

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

79188295680 is an frugal number, since it uses more digits than its factorization.

79188295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 79188295680 in words is "seventy-nine billion, one hundred eighty-eight million, two hundred ninety-five thousand, six hundred eighty".