12899586686976 has 1440 divisors, whose sum is σ = 45527361062400. Its totient is φ = 3569378918400.

The previous prime is 12899586686953. The next prime is 12899586686981. The reversal of 12899586686976 is 67968668599821.

12899586686976 is a `hidden beast` number, since 1 + 289 + 95 + 86 + 6 + 86 + 97 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 155416707031 + ... + 155416707113.

It is an arithmetic number, because the mean of its divisors is an integer number (31616222960).

Almost surely, 2^{12899586686976} is an apocalyptic number.

12899586686976 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 12899586686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763680531200).

12899586686976 is an abundant number, since it is smaller than the sum of its proper divisors (32627774375424).

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

12899586686976 is an equidigital number, since it uses as much as digits as its factorization.

12899586686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 159 counting only the distinct ones).

The product of its digits is 33861058560, while the sum is 90.

The spelling of 12899586686976 in words is "twelve trillion, eight hundred ninety-nine billion, five hundred eighty-six million, six hundred eighty-six thousand, nine hundred seventy-six".