12917626680 has 128 divisors (see below), whose sum is σ = 44364672000. Its totient is φ = 2947556352.

The previous prime is 12917626661. The next prime is 12917626721. The reversal of 12917626680 is 8662671921.

12917626680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490324 + ... + 515996.

It is an arithmetic number, because the mean of its divisors is an integer number (346599000).

Almost surely, 2^12917626680 is an apocalyptic number.

12917626680 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 12917626680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182336000).

12917626680 is an abundant number, since it is smaller than the sum of its proper divisors (31447045320).

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

12917626680 is a wasteful number, since it uses less digits than its factorization.

12917626680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26293 (or 26289 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12917626680 in words is "twelve billion, nine hundred seventeen million, six hundred twenty-six thousand, six hundred eighty".