2556546456552 has 128 divisors (see below), whose sum is σ = 7098284344320. Its totient is φ = 767188593600.

The previous prime is 2556546456491. The next prime is 2556546456587.

2556546456552 is nontrivially palindromic in base 10.

2556546456552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901727 + ... + 3678737.

It is an arithmetic number, because the mean of its divisors is an integer number (55455346440).

Almost surely, 2^{2556546456552} is an apocalyptic number.

2556546456552 is a gapful number since it is divisible by the number (22) 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 2556546456552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549142172160).

2556546456552 is an abundant number, since it is smaller than the sum of its proper divisors (4541737887768).

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

2556546456552 is a wasteful number, since it uses less digits than its factorization.

2556546456552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777156 (or 777130 counting only the distinct ones).

The product of its digits is 216000000, while the sum is 60.

The spelling of 2556546456552 in words is "two trillion, five hundred fifty-six billion, five hundred forty-six million, four hundred fifty-six thousand, five hundred fifty-two".