12791939072 has 128 divisors (see below), whose sum is σ = 29141579520. Its totient is φ = 5558108160.

The previous prime is 12791939057. The next prime is 12791939077. The reversal of 12791939072 is 27093919721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12791939072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12791939077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8289533 + ... + 8291075.

It is an arithmetic number, because the mean of its divisors is an integer number (227668590).

Almost surely, 2^12791939072 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 12791939072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570789760).

12791939072 is an abundant number, since it is smaller than the sum of its proper divisors (16349640448).

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

12791939072 is an equidigital number, since it uses as much as digits as its factorization.

12791939072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 50.

The spelling of 12791939072 in words is "twelve billion, seven hundred ninety-one million, nine hundred thirty-nine thousand, seventy-two".