12968807904 has 144 divisors (see below), whose sum is σ = 39971760192. Its totient is φ = 3964806144.

The previous prime is 12968807893. The next prime is 12968807923. The reversal of 12968807904 is 40970886921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576777 + ... + 598839.

It is an arithmetic number, because the mean of its divisors is an integer number (277581668).

Almost surely, 2^12968807904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12968807904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19985880096).

12968807904 is an abundant number, since it is smaller than the sum of its proper divisors (27002952288).

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

12968807904 is a wasteful number, since it uses less digits than its factorization.

12968807904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22249 (or 22238 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12968807904 in words is "twelve billion, nine hundred sixty-eight million, eight hundred seven thousand, nine hundred four".