12079534896 has 480 divisors, whose sum is σ = 41597337600. Its totient is φ = 3222374400.

The previous prime is 12079534877. The next prime is 12079534897. The reversal of 12079534896 is 69843597021.

12079534896 is a `hidden beast` number, since 1 + 20 + 7 + 9 + 534 + 89 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12079534897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81070630 + ... + 81070778.

It is an arithmetic number, because the mean of its divisors is an integer number (86661120).

It is a 1-persistent number, because it is pandigital, but 2⋅12079534896 = 24159069792 is not.

Almost surely, 2^12079534896 is an apocalyptic number.

12079534896 is a gapful number since it is divisible by the number (16) 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 12079534896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798668800).

12079534896 is an abundant number, since it is smaller than the sum of its proper divisors (29517802704).

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

12079534896 is a wasteful number, since it uses less digits than its factorization.

12079534896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12079534896 in words is "twelve billion, seventy-nine million, five hundred thirty-four thousand, eight hundred ninety-six".