12726421728 has 192 divisors, whose sum is σ = 35510872320. Its totient is φ = 3985293312.

The previous prime is 12726421699. The next prime is 12726421811. The reversal of 12726421728 is 82712462721.

12726421728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12726421728.

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 31 ways as a sum of consecutive naturals, for example, 14814963 + ... + 14815821.

It is an arithmetic number, because the mean of its divisors is an integer number (184952460).

Almost surely, 2^12726421728 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 12726421728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755436160).

12726421728 is an abundant number, since it is smaller than the sum of its proper divisors (22784450592).

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

12726421728 is a wasteful number, since it uses less digits than its factorization.

12726421728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1041 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The spelling of 12726421728 in words is "twelve billion, seven hundred twenty-six million, four hundred twenty-one thousand, seven hundred twenty-eight".