12686008320 has 224 divisors, whose sum is σ = 45106986240. Its totient is φ = 3382640640.

The previous prime is 12686008301. The next prime is 12686008373. The reversal of 12686008320 is 2380068621.

12686008320 is a `hidden beast` number, since 1 + 26 + 8 + 600 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1100185 + ... + 1111655.

Almost surely, 2^12686008320 is an apocalyptic number.

12686008320 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 12686008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553493120).

12686008320 is an abundant number, since it is smaller than the sum of its proper divisors (32420977920).

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

12686008320 is an equidigital number, since it uses as much as digits as its factorization.

12686008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11511 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12686008320 in words is "twelve billion, six hundred eighty-six million, eight thousand, three hundred twenty".