2556576965600 has 576 divisors, whose sum is σ = 7800475737600. Its totient is φ = 798336000000.

The previous prime is 2556576965599. The next prime is 2556576965609. The reversal of 2556576965600 is 65696756552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556576965609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774483950 + ... + 774487250.

It is an arithmetic number, because the mean of its divisors is an integer number (13542492600).

Almost surely, 2^{2556576965600} is an apocalyptic number.

2556576965600 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 2556576965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900237868800).

2556576965600 is an abundant number, since it is smaller than the sum of its proper divisors (5243898772000).

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

2556576965600 is a wasteful number, since it uses less digits than its factorization.

2556576965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 62.

The spelling of 2556576965600 in words is "two trillion, five hundred fifty-six billion, five hundred seventy-six million, nine hundred sixty-five thousand, six hundred".