12706079608320 has 960 divisors, whose sum is σ = 48844232769024. Its totient is φ = 2759925104640.

The previous prime is 12706079608301. The next prime is 12706079608357. The reversal of 12706079608320 is 2380697060721.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×12706079608320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4635562150 + ... + 4635564890.

Almost surely, 2^{12706079608320} is an apocalyptic number.

12706079608320 is a gapful number since it is divisible by the number (10) 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 12706079608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422116384512).

12706079608320 is an abundant number, since it is smaller than the sum of its proper divisors (36138153160704).

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

12706079608320 is a wasteful number, since it uses less digits than its factorization.

12706079608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 12706079608320 in words is "twelve trillion, seven hundred six billion, seventy-nine million, six hundred eight thousand, three hundred twenty".