12659679360 has 384 divisors, whose sum is σ = 45184988160. Its totient is φ = 3264307200.

The previous prime is 12659679341. The next prime is 12659679371. The reversal of 12659679360 is 6397695621.

12659679360 is a `hidden beast` number, since 12 + 6 + 596 + 7 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 12659679297 and 12659679306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27342489 + ... + 27342951.

It is an arithmetic number, because the mean of its divisors is an integer number (117669240).

Almost surely, 2^12659679360 is an apocalyptic number.

12659679360 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 12659679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592494080).

12659679360 is an abundant number, since it is smaller than the sum of its proper divisors (32525308800).

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

12659679360 is a wasteful number, since it uses less digits than its factorization.

12659679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 12659679360 in words is "twelve billion, six hundred fifty-nine million, six hundred seventy-nine thousand, three hundred sixty".