2556066788352 has 1188 divisors, whose sum is σ = 9707773697440. Its totient is φ = 634021724160.

The previous prime is 2556066788339. The next prime is 2556066788371. The reversal of 2556066788352 is 2538876606552.

2556066788352 is a `hidden beast` number, since 2 + 5 + 560 + 6 + 67 + 8 + 8 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×2556066788352² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2556066788352.

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 107 ways as a sum of consecutive naturals, for example, 4129348299 + ... + 4129348917.

Almost surely, 2^{2556066788352} is an apocalyptic number.

2556066788352 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 2556066788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853886848720).

2556066788352 is an abundant number, since it is smaller than the sum of its proper divisors (7151706909088).

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

2556066788352 is a wasteful number, since it uses less digits than its factorization.

2556066788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 2556066788352 in words is "two trillion, five hundred fifty-six billion, sixty-six million, seven hundred eighty-eight thousand, three hundred fifty-two".