2556851296480 has 288 divisors, whose sum is σ = 7133356903680. Its totient is φ = 859866071040.

The previous prime is 2556851296457. The next prime is 2556851296513. The reversal of 2556851296480 is 846921586552.

It is a super-2 number, since 2×2556851296480² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18566116 + ... + 18703324.

It is an arithmetic number, because the mean of its divisors is an integer number (24768600360).

Almost surely, 2^{2556851296480} is an apocalyptic number.

2556851296480 is a gapful number since it is divisible by the number (20) 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 2556851296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566678451840).

2556851296480 is an abundant number, since it is smaller than the sum of its proper divisors (4576505607200).

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

2556851296480 is a wasteful number, since it uses less digits than its factorization.

2556851296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137302 (or 137277 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 61.

The spelling of 2556851296480 in words is "two trillion, five hundred fifty-six billion, eight hundred fifty-one million, two hundred ninety-six thousand, four hundred eighty".