12806668892160 has 3456 divisors, whose sum is σ = 57194770913280. Its totient is φ = 2708884684800.

The previous prime is 12806668892071. The next prime is 12806668892161. The reversal of 12806668892160 is 6129886660821.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×12806668892160² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12806668892161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 297829509099 + ... + 297829509141.

It is an arithmetic number, because the mean of its divisors is an integer number (16549412880).

Almost surely, 2^{12806668892160} is an apocalyptic number.

12806668892160 is a gapful number since it is divisible by the number (10) 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 12806668892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28597385456640).

12806668892160 is an abundant number, since it is smaller than the sum of its proper divisors (44388102021120).

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

12806668892160 is an equidigital number, since it uses as much as digits as its factorization.

12806668892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 12806668892160 in words is "twelve trillion, eight hundred six billion, six hundred sixty-eight million, eight hundred ninety-two thousand, one hundred sixty".