2551589621856 has 1728 divisors, whose sum is σ = 9460738284480. Its totient is φ = 665675366400.

The previous prime is 2551589621831. The next prime is 2551589621909. The reversal of 2551589621856 is 6581269851552.

It is a happy number.

2551589621856 is a `hidden beast` number, since 2 + 5 + 515 + 8 + 9 + 62 + 1 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2551589621793 and 2551589621802.

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 287 ways as a sum of consecutive naturals, for example, 26305047600 + ... + 26305047696.

It is an arithmetic number, because the mean of its divisors is an integer number (5474964285).

Almost surely, 2^{2551589621856} 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 2551589621856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730369142240).

2551589621856 is an abundant number, since it is smaller than the sum of its proper divisors (6909148662624).

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

2551589621856 is a wasteful number, since it uses less digits than its factorization.

2551589621856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 190 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 63.

The spelling of 2551589621856 in words is "two trillion, five hundred fifty-one billion, five hundred eighty-nine million, six hundred twenty-one thousand, eight hundred fifty-six".