12782271744 has 180 divisors, whose sum is σ = 41580110880. Its totient is φ = 3873346560.

The previous prime is 12782271731. The next prime is 12782271773. The reversal of 12782271744 is 44717228721.

It is a self number, because there is not a number n which added to its sum of digits gives 12782271744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 200077 + ... + 256115.

It is an arithmetic number, because the mean of its divisors is an integer number (231000616).

Almost surely, 2^12782271744 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 12782271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790055440).

12782271744 is an abundant number, since it is smaller than the sum of its proper divisors (28797839136).

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

12782271744 is an equidigital number, since it uses as much as digits as its factorization.

12782271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56078 (or 56055 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The spelling of 12782271744 in words is "twelve billion, seven hundred eighty-two million, two hundred seventy-one thousand, seven hundred forty-four".