79106234592000 has 2304 divisors, whose sum is σ = 348318258462720. Its totient is φ = 15424561152000.

The previous prime is 79106234591939. The next prime is 79106234592017. The reversal of 79106234592000 is 29543260197.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9010843611 + ... + 9010852389.

It is an arithmetic number, because the mean of its divisors is an integer number (151179799680).

Almost surely, 2^{79106234592000} is an apocalyptic number.

79106234592000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79106234592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174159129231360).

79106234592000 is an abundant number, since it is smaller than the sum of its proper divisors (269212023870720).

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

79106234592000 is a wasteful number, since it uses less digits than its factorization.

79106234592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8883 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 79106234592000 in words is "seventy-nine trillion, one hundred six billion, two hundred thirty-four million, five hundred ninety-two thousand".