2556202521600 has 1188 divisors, whose sum is σ = 11466320225724. Its totient is φ = 539299676160.

The previous prime is 2556202521581. The next prime is 2556202521623. The reversal of 2556202521600 is 61252026552.

2556202521600 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 2 + 0 + 25 + 21 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11131094016 + 2545071427584 = 105504^2 + 1595328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146756092 + ... + 146773508.

Almost surely, 2^{2556202521600} is an apocalyptic number.

2556202521600 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 2556202521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733160112862).

2556202521600 is an abundant number, since it is smaller than the sum of its proper divisors (8910117704124).

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

2556202521600 is a wasteful number, since it uses less digits than its factorization.

2556202521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17480 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2556202521600 in words is "two trillion, five hundred fifty-six billion, two hundred two million, five hundred twenty-one thousand, six hundred".