12908696640 has 448 divisors, whose sum is σ = 49944674304. Its totient is φ = 2760671232.

The previous prime is 12908696629. The next prime is 12908696651. The reversal of 12908696640 is 4669680921.

It is an interprime number because it is at equal distance from previous prime (12908696629) and next prime (12908696651).

It is a tau number, because it is divible by the number of its divisors (448).

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, 7263432 + ... + 7265208.

It is an arithmetic number, because the mean of its divisors is an integer number (111483648).

Almost surely, 2^12908696640 is an apocalyptic number.

12908696640 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 12908696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972337152).

12908696640 is an abundant number, since it is smaller than the sum of its proper divisors (37035977664).

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

12908696640 is a wasteful number, since it uses less digits than its factorization.

12908696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 12908696640 in words is "twelve billion, nine hundred eight million, six hundred ninety-six thousand, six hundred forty".