12655876896 has 288 divisors, whose sum is σ = 41277600000. Its totient is φ = 3645886464.

The previous prime is 12655876889. The next prime is 12655876903. The reversal of 12655876896 is 69867855621.

12655876896 is a `hidden beast` number, since 1 + 2 + 6 + 558 + 76 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12655876889) and next prime (12655876903).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6330105 + ... + 6332103.

It is an arithmetic number, because the mean of its divisors is an integer number (143325000).

Almost surely, 2^12655876896 is an apocalyptic number.

12655876896 is a gapful number since it is divisible by the number (16) 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 12655876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800000).

12655876896 is an abundant number, since it is smaller than the sum of its proper divisors (28621723104).

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

12655876896 is a wasteful number, since it uses less digits than its factorization.

12655876896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2125 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 12655876896 in words is "twelve billion, six hundred fifty-five million, eight hundred seventy-six thousand, eight hundred ninety-six".