2556845132688 has 1080 divisors, whose sum is σ = 9960043302144. Its totient is φ = 604722585600.

The previous prime is 2556845132669. The next prime is 2556845132707. The reversal of 2556845132688 is 8862315486552.

2556845132688 is a `hidden beast` number, since 2 + 5 + 56 + 8 + 4 + 513 + 2 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2556845132669) and next prime (2556845132707).

It is a super-2 number, since 2×2556845132688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 695359906 + ... + 695363582.

Almost surely, 2^{2556845132688} is an apocalyptic number.

2556845132688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556845132688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980021651072).

2556845132688 is an abundant number, since it is smaller than the sum of its proper divisors (7403198169456).

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

2556845132688 is a wasteful number, since it uses less digits than its factorization.

2556845132688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3748 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 63.

It can be divided in two parts, 25568 and 45132688, that added together give a triangular number (45158256 = T₉₅₀₃).

The spelling of 2556845132688 in words is "two trillion, five hundred fifty-six billion, eight hundred forty-five million, one hundred thirty-two thousand, six hundred eighty-eight".