2556380797200 has 360 divisors, whose sum is σ = 8918559208416. Its totient is φ = 678081024000.

The previous prime is 2556380797199. The next prime is 2556380797207. The reversal of 2556380797200 is 27970836552.

2556380797200 is a `hidden beast` number, since 2 + 5 + 56 + 380 + 7 + 9 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (2556380797207) 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 71 ways as a sum of consecutive naturals, for example, 1411584295 + ... + 1411586105.

Almost surely, 2^{2556380797200} is an apocalyptic number.

2556380797200 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 2556380797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459279604208).

2556380797200 is an abundant number, since it is smaller than the sum of its proper divisors (6362178411216).

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

2556380797200 is a wasteful number, since it uses less digits than its factorization.

2556380797200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 2556380797200 in words is "two trillion, five hundred fifty-six billion, three hundred eighty million, seven hundred ninety-seven thousand, two hundred".