12836878055352 has 768 divisors, whose sum is σ = 42190477056000. Its totient is φ = 3623062722048.

The previous prime is 12836878055327. The next prime is 12836878055369. The reversal of 12836878055352 is 25355087863821.

It is a happy number.

12836878055352 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 6 + 8 + 78 + 0 + 553 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12836878055352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1898100723 + ... + 1898107485.

It is an arithmetic number, because the mean of its divisors is an integer number (54935517000).

Almost surely, 2^{12836878055352} is an apocalyptic number.

12836878055352 is a gapful number since it is divisible by the number (12) 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 12836878055352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21095238528000).

12836878055352 is an abundant number, since it is smaller than the sum of its proper divisors (29353599000648).

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

12836878055352 is a wasteful number, since it uses less digits than its factorization.

12836878055352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 12836878055352 in words is "twelve trillion, eight hundred thirty-six billion, eight hundred seventy-eight million, fifty-five thousand, three hundred fifty-two".