12896305968 has 320 divisors, whose sum is σ = 42459282432. Its totient is φ = 3282370560.

The previous prime is 12896305957. The next prime is 12896305973. The reversal of 12896305968 is 86950369821.

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 63 ways as a sum of consecutive naturals, for example, 19162080 + ... + 19162752.

Almost surely, 2^12896305968 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 12896305968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229641216).

12896305968 is an abundant number, since it is smaller than the sum of its proper divisors (29562976464).

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

12896305968 is a wasteful number, since it uses less digits than its factorization.

12896305968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 12896305968 in words is "twelve billion, eight hundred ninety-six million, three hundred five thousand, nine hundred sixty-eight".