5560509225600 has 288 divisors, whose sum is σ = 22675625051040. Its totient is φ = 1270973491200.

The previous prime is 5560509225451. The next prime is 5560509225679. The reversal of 5560509225600 is 65229050655.

5560509225600 is a `hidden beast` number, since 5 + 5 + 60 + 5 + 0 + 9 + 22 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 13589346 + ... + 13992545.

It is an arithmetic number, because the mean of its divisors is an integer number (78734809205).

Almost surely, 2^{5560509225600} is an apocalyptic number.

5560509225600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5560509225600 is an abundant number, since it is smaller than the sum of its proper divisors (17115115825440).

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

5560509225600 is a wasteful number, since it uses less digits than its factorization.

5560509225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27581928 (or 27581908 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 5560509225600 in words is "five trillion, five hundred sixty billion, five hundred nine million, two hundred twenty-five thousand, six hundred".