12968792256 has 112 divisors (see below), whose sum is σ = 39378859520. Its totient is φ = 3689902080.

The previous prime is 12968792219. The next prime is 12968792269. The reversal of 12968792256 is 65229786921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 12968792196 and 12968792205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303885 + ... + 343923.

It is an arithmetic number, because the mean of its divisors is an integer number (351596960).

Almost surely, 2^12968792256 is an apocalyptic number.

12968792256 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 12968792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689429760).

12968792256 is an abundant number, since it is smaller than the sum of its proper divisors (26410067264).

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

12968792256 is a wasteful number, since it uses less digits than its factorization.

12968792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40302 (or 40292 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 12968792256 in words is "twelve billion, nine hundred sixty-eight million, seven hundred ninety-two thousand, two hundred fifty-six".