6005561005600 has 72 divisors (see below), whose sum is σ = 15788850894180. Its totient is φ = 2217437905920.

The previous prime is 6005561005511. The next prime is 6005561005601. The reversal of 6005561005600 is 65001655006.

It can be written as a sum of positive squares in 6 ways, for example, as 24073384336 + 5981487621264 = 155156^2 + 2445708^2 .

It is not an unprimeable number, because it can be changed into a prime (6005561005601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288718495 + ... + 288739294.

Almost surely, 2^{6005561005600} is an apocalyptic number.

It is an amenable number.

6005561005600 is an abundant number, since it is smaller than the sum of its proper divisors (9783289888580).

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

6005561005600 is a wasteful number, since it uses less digits than its factorization.

6005561005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577457822 (or 577457809 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 6005561005600 in words is "six trillion, five billion, five hundred sixty-one million, five thousand, six hundred".