12826768320 has 168 divisors, whose sum is σ = 45542240640. Its totient is φ = 3310110720.

The previous prime is 12826768309. The next prime is 12826768337. The reversal of 12826768320 is 2386762821.

12826768320 is a `hidden beast` number, since 1 + 2 + 8 + 267 + 68 + 320 = 666.

12826768320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17446 + ... + 161114.

Almost surely, 2^12826768320 is an apocalyptic number.

12826768320 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 12826768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771120320).

12826768320 is an abundant number, since it is smaller than the sum of its proper divisors (32715472320).

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

12826768320 is a wasteful number, since it uses less digits than its factorization.

12826768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143723 (or 143710 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12826768320 in words is "twelve billion, eight hundred twenty-six million, seven hundred sixty-eight thousand, three hundred twenty".