2556088914288 has 160 divisors (see below), whose sum is σ = 8130004646400. Its totient is φ = 673888416768.

The previous prime is 2556088914287. The next prime is 2556088914311. The reversal of 2556088914288 is 8824198806552.

It is a super-2 number, since 2×2556088914288² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556088914287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12077443 + ... + 12287261.

It is an arithmetic number, because the mean of its divisors is an integer number (50812529040).

Almost surely, 2^{2556088914288} is an apocalyptic number.

2556088914288 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 2556088914288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065002323200).

2556088914288 is an abundant number, since it is smaller than the sum of its proper divisors (5573915732112).

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

2556088914288 is a wasteful number, since it uses less digits than its factorization.

2556088914288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212639 (or 212633 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 66.

The spelling of 2556088914288 in words is "two trillion, five hundred fifty-six billion, eighty-eight million, nine hundred fourteen thousand, two hundred eighty-eight".