12806765765892 has 240 divisors, whose sum is σ = 40583456686080. Its totient is φ = 3440029694400.

The previous prime is 12806765765891. The next prime is 12806765765897. The reversal of 12806765765892 is 29856756760821.

12806765765892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12806765765892.

It is not an unprimeable number, because it can be changed into a prime (12806765765891) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4510717 + ... + 6779387.

It is an arithmetic number, because the mean of its divisors is an integer number (169097736192).

Almost surely, 2^{12806765765892} is an apocalyptic number.

12806765765892 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 12806765765892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20291728343040).

12806765765892 is an abundant number, since it is smaller than the sum of its proper divisors (27776690920188).

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

12806765765892 is a wasteful number, since it uses less digits than its factorization.

12806765765892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268844 (or 2268833 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 12806765765892 in words is "twelve trillion, eight hundred six billion, seven hundred sixty-five million, seven hundred sixty-five thousand, eight hundred ninety-two".