12886582719744 has 864 divisors, whose sum is σ = 43468152698880. Its totient is φ = 3783432830976.

The previous prime is 12886582719743. The next prime is 12886582719767. The reversal of 12886582719744 is 44791728568821.

12886582719744 is a `hidden beast` number, since 1 + 28 + 8 + 6 + 582 + 7 + 19 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886582719743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1667730409 + ... + 1667738135.

It is an arithmetic number, because the mean of its divisors is an integer number (50310361920).

Almost surely, 2^{12886582719744} 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 12886582719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21734076349440).

12886582719744 is an abundant number, since it is smaller than the sum of its proper divisors (30581569979136).

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

12886582719744 is an equidigital number, since it uses as much as digits as its factorization.

12886582719744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7851 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 12886582719744 in words is "twelve trillion, eight hundred eighty-six billion, five hundred eighty-two million, seven hundred nineteen thousand, seven hundred forty-four".