5600984889600 has 1215 divisors, whose sum is σ = 21983797681923. Its totient is φ = 1406806548480.

The previous prime is 5600984889569. The next prime is 5600984889631. The reversal of 5600984889600 is 69884890065.

The square root of 5600984889600 is 2366640.

It is a perfect power (a square), and thus also a powerful number.

5600984889600 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 98 + 488 + 9 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5600984889569) and next prime (5600984889631).

It can be written as a sum of positive squares in 4 ways, for example, as 616589293824 + 4984395595776 = 785232^2 + 2232576^2 .

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 134 ways as a sum of consecutive naturals, for example, 32375635114 + ... + 32375635286.

Almost surely, 2^{5600984889600} is an apocalyptic number.

5600984889600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5600984889600 is the 2366640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600984889600

5600984889600 is an abundant number, since it is smaller than the sum of its proper divisors (16382812792323).

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

5600984889600 is an equidigital number, since it uses as much as digits as its factorization.

5600984889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 5600984889600 in words is "five trillion, six hundred billion, nine hundred eighty-four million, eight hundred eighty-nine thousand, six hundred".