12956561819790 has 128 divisors (see below), whose sum is σ = 32179373383680. Its totient is φ = 3335248742400.

The previous prime is 12956561819737. The next prime is 12956561819791. The reversal of 12956561819790 is 9791816565921.

12956561819790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956561819791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765700530 + ... + 765717450.

It is an arithmetic number, because the mean of its divisors is an integer number (251401354560).

Almost surely, 2^{12956561819790} is an apocalyptic number.

12956561819790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12956561819790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089686691840).

12956561819790 is an abundant number, since it is smaller than the sum of its proper divisors (19222811563890).

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

12956561819790 is a wasteful number, since it uses less digits than its factorization.

12956561819790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18978.

The product of its (nonzero) digits is 73483200, while the sum is 69.

The spelling of 12956561819790 in words is "twelve trillion, nine hundred fifty-six billion, five hundred sixty-one million, eight hundred nineteen thousand, seven hundred ninety".