12696759264 has 288 divisors, whose sum is σ = 41326951680. Its totient is φ = 3391352832.

The previous prime is 12696759241. The next prime is 12696759287. The reversal of 12696759264 is 46295769621.

12696759264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12696759241) and next prime (12696759287).

It is a super-2 number, since 2×12696759264² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 14313829 + ... + 14314715.

It is an arithmetic number, because the mean of its divisors is an integer number (143496360).

Almost surely, 2^12696759264 is an apocalyptic number.

12696759264 is a gapful number since it is divisible by the number (14) 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 12696759264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20663475840).

12696759264 is an abundant number, since it is smaller than the sum of its proper divisors (28630192416).

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

12696759264 is a wasteful number, since it uses less digits than its factorization.

12696759264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1095 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 12696759264 in words is "twelve billion, six hundred ninety-six million, seven hundred fifty-nine thousand, two hundred sixty-four".