560500300800 has 792 divisors, whose sum is σ = 2270660001792. Its totient is φ = 135862272000.

The previous prime is 560500300799. The next prime is 560500300817. The reversal of 560500300800 is 8003005065.

560500300800 is a `hidden beast` number, since 56 + 0 + 500 + 30 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 68424705 + ... + 68432895.

Almost surely, 2^560500300800 is an apocalyptic number.

560500300800 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 560500300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135330000896).

560500300800 is an abundant number, since it is smaller than the sum of its proper divisors (1710159700992).

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

560500300800 is a wasteful number, since it uses less digits than its factorization.

560500300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 560500300800 its reverse (8003005065), we get a palindrome (568503305865).

The spelling of 560500300800 in words is "five hundred sixty billion, five hundred million, three hundred thousand, eight hundred".