12826910304 has 192 divisors, whose sum is σ = 40778035200. Its totient is φ = 3898907136.

The previous prime is 12826910303. The next prime is 12826910309. The reversal of 12826910304 is 40301962821.

12826910304 is a `hidden beast` number, since 1 + 282 + 69 + 10 + 304 = 666.

12826910304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12826910304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12826910303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 925377 + ... + 939135.

It is an arithmetic number, because the mean of its divisors is an integer number (212385600).

Almost surely, 2^12826910304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12826910304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389017600).

12826910304 is an abundant number, since it is smaller than the sum of its proper divisors (27951124896).

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

12826910304 is a wasteful number, since it uses less digits than its factorization.

12826910304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13860 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12826910304 in words is "twelve billion, eight hundred twenty-six million, nine hundred ten thousand, three hundred four".