79189529694912 has 1680 divisors, whose sum is σ = 296508045113280. Its totient is φ = 20349242081280.

The previous prime is 79189529694911. The next prime is 79189529694959. The reversal of 79189529694912 is 21949692598197.

79189529694912 is a `hidden beast` number, since 7 + 9 + 1 + 89 + 529 + 6 + 9 + 4 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×79189529694912² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (79189529694911) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 345805806414 + ... + 345805806642.

It is an arithmetic number, because the mean of its divisors is an integer number (176492883996).

Almost surely, 2^{79189529694912} is an apocalyptic number.

79189529694912 is a gapful number since it is divisible by the number (72) 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 79189529694912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254022556640).

79189529694912 is an abundant number, since it is smaller than the sum of its proper divisors (217318515418368).

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

79189529694912 is a wasteful number, since it uses less digits than its factorization.

79189529694912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 512 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 81.

The spelling of 79189529694912 in words is "seventy-nine trillion, one hundred eighty-nine billion, five hundred twenty-nine million, six hundred ninety-four thousand, nine hundred twelve".