12689659664 has 80 divisors (see below), whose sum is σ = 27179064000. Its totient is φ = 5691548160.

The previous prime is 12689659657. The next prime is 12689659679. The reversal of 12689659664 is 46695698621.

12689659664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12689659664² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12689659597 and 12689659606.

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 15 ways as a sum of consecutive naturals, for example, 5159267 + ... + 5161725.

It is an arithmetic number, because the mean of its divisors is an integer number (339738300).

Almost surely, 2^12689659664 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 12689659664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589532000).

12689659664 is an abundant number, since it is smaller than the sum of its proper divisors (14489404336).

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

12689659664 is a wasteful number, since it uses less digits than its factorization.

12689659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2850 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 62.

The spelling of 12689659664 in words is "twelve billion, six hundred eighty-nine million, six hundred fifty-nine thousand, six hundred sixty-four".