12768086336 has 56 divisors (see below), whose sum is σ = 26716085760. Its totient is φ = 6037632000.

The previous prime is 12768086333. The next prime is 12768086417. The reversal of 12768086336 is 63368086721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12768086333) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 722081 + ... + 739551.

It is an arithmetic number, because the mean of its divisors is an integer number (477072960).

Almost surely, 2^12768086336 is an apocalyptic number.

12768086336 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 12768086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358042880).

12768086336 is an abundant number, since it is smaller than the sum of its proper divisors (13947999424).

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

12768086336 is a wasteful number, since it uses less digits than its factorization.

12768086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18103 (or 18093 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 12768086336 in words is "twelve billion, seven hundred sixty-eight million, eighty-six thousand, three hundred thirty-six".