560336281187200 has 384 divisors, whose sum is σ = 1609249083877440. Its totient is φ = 188805316608000.

The previous prime is 560336281187191. The next prime is 560336281187209. The reversal of 560336281187200 is 2781182633065.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (560336281187191) and next prime (560336281187209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560336281187209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1613544784 + ... + 1613892016.

Almost surely, 2^{560336281187200} is an apocalyptic number.

560336281187200 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 560336281187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804624541938720).

560336281187200 is an abundant number, since it is smaller than the sum of its proper divisors (1048912802690240).

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

560336281187200 is a wasteful number, since it uses less digits than its factorization.

560336281187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348506 (or 348489 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 560336281187200 in words is "five hundred sixty trillion, three hundred thirty-six billion, two hundred eighty-one million, one hundred eighty-seven thousand, two hundred".