5560564000 has 96 divisors (see below), whose sum is σ = 14466147696. Its totient is φ = 2093363200.

The previous prime is 5560563991. The next prime is 5560564039. The reversal of 5560564000 is 4650655.

It can be written as a sum of positive squares in 8 ways, for example, as 1202979856 + 4357584144 = 34684^2 + 66012^2 .

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 15 ways as a sum of consecutive naturals, for example, 27114 + ... + 108886.

Almost surely, 2^5560564000 is an apocalyptic number.

5560564000 is a gapful number since it is divisible by the number (50) 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 5560564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233073848).

5560564000 is an abundant number, since it is smaller than the sum of its proper divisors (8905583696).

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

5560564000 is a wasteful number, since it uses less digits than its factorization.

5560564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81815 (or 81797 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 5560564000 is about 74569.1893478801. The cubic root of 5560564000 is about 1771.6296820875.

The spelling of 5560564000 in words is "five billion, five hundred sixty million, five hundred sixty-four thousand".