12766168752 has 80 divisors (see below), whose sum is σ = 33528993888. Its totient is φ = 4184801280.

The previous prime is 12766168691. The next prime is 12766168817. The reversal of 12766168752 is 25786166721.

12766168752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12766168695 and 12766168704.

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 15 ways as a sum of consecutive naturals, for example, 1231752 + ... + 1242072.

Almost surely, 2^12766168752 is an apocalyptic number.

12766168752 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 12766168752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764496944).

12766168752 is an abundant number, since it is smaller than the sum of its proper divisors (20762825136).

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

12766168752 is a wasteful number, since it uses less digits than its factorization.

12766168752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10752 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 12766168752 in words is "twelve billion, seven hundred sixty-six million, one hundred sixty-eight thousand, seven hundred fifty-two".