2556659494816 has 144 divisors (see below), whose sum is σ = 5981859072000. Its totient is φ = 1072026428928.

The previous prime is 2556659494793. The next prime is 2556659494819. The reversal of 2556659494816 is 6184949566552.

It is a happy number.

2556659494816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2556659494819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353663490 + ... + 353670718.

It is an arithmetic number, because the mean of its divisors is an integer number (41540688000).

Almost surely, 2^{2556659494816} 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 2556659494816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990929536000).

2556659494816 is an abundant number, since it is smaller than the sum of its proper divisors (3425199577184).

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

2556659494816 is a wasteful number, since it uses less digits than its factorization.

2556659494816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099 (or 12084 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 70.

The spelling of 2556659494816 in words is "two trillion, five hundred fifty-six billion, six hundred fifty-nine million, four hundred ninety-four thousand, eight hundred sixteen".