12892128768 has 120 divisors (see below), whose sum is σ = 37592442888. Its totient is φ = 4252925952.

The previous prime is 12892128761. The next prime is 12892128779. The reversal of 12892128768 is 86782129821.

12892128768 is a `hidden beast` number, since 1 + 289 + 21 + 287 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12892128761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432555 + ... + 461397.

Almost surely, 2^12892128768 is an apocalyptic number.

12892128768 is a gapful number since it is divisible by the number (18) 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 12892128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796221444).

12892128768 is an abundant number, since it is smaller than the sum of its proper divisors (24700314120).

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

12892128768 is an equidigital number, since it uses as much as digits as its factorization.

12892128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28964 (or 28945 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 12892128768 in words is "twelve billion, eight hundred ninety-two million, one hundred twenty-eight thousand, seven hundred sixty-eight".