560561566500 has 768 divisors, whose sum is σ = 2034160128000. Its totient is φ = 132385881600.

The previous prime is 560561566427. The next prime is 560561566547. The reversal of 560561566500 is 5665165065.

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 (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 445242871 + ... + 445244129.

It is an arithmetic number, because the mean of its divisors is an integer number (2648646000).

Almost surely, 2^560561566500 is an apocalyptic number.

560561566500 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 560561566500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017080064000).

560561566500 is an abundant number, since it is smaller than the sum of its proper divisors (1473598561500).

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

560561566500 is a wasteful number, since it uses less digits than its factorization.

560561566500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1384 counting only the distinct ones).

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

The spelling of 560561566500 in words is "five hundred sixty billion, five hundred sixty-one million, five hundred sixty-six thousand, five hundred".