2556681111459 has 80 divisors (see below), whose sum is σ = 4047556867200. Its totient is φ = 1603792255104.

The previous prime is 2556681111431. The next prime is 2556681111487. The reversal of 2556681111459 is 9541111866552.

2556681111459 is a `hidden beast` number, since 2 + 5 + 566 + 8 + 1 + 11 + 14 + 59 = 666.

It is an interprime number because it is at equal distance from previous prime (2556681111431) and next prime (2556681111487).

It is not a de Polignac number, because 2556681111459 - 2⁷ = 2556681111331 is a prime.

It is a super-2 number, since 2×2556681111459² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2556681111359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 600298672 + ... + 600302930.

It is an arithmetic number, because the mean of its divisors is an integer number (50594460840).

Almost surely, 2^{2556681111459} is an apocalyptic number.

2556681111459 is a deficient number, since it is larger than the sum of its proper divisors (1490875755741).

2556681111459 is a wasteful number, since it uses less digits than its factorization.

2556681111459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6837 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The spelling of 2556681111459 in words is "two trillion, five hundred fifty-six billion, six hundred eighty-one million, one hundred eleven thousand, four hundred fifty-nine".