561798367200 has 648 divisors, whose sum is σ = 2360744371440. Its totient is φ = 125275852800.

The previous prime is 561798367187. The next prime is 561798367253. The reversal of 561798367200 is 2763897165.

561798367200 is a `hidden beast` number, since 5 + 6 + 1 + 79 + 8 + 367 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14445381 + ... + 14484219.

It is an arithmetic number, because the mean of its divisors is an integer number (3643124030).

Almost surely, 2^561798367200 is an apocalyptic number.

561798367200 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 561798367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180372185720).

561798367200 is an abundant number, since it is smaller than the sum of its proper divisors (1798946004240).

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

561798367200 is a wasteful number, since it uses less digits than its factorization.

561798367200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38920 (or 38897 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 561798367200 in words is "five hundred sixty-one billion, seven hundred ninety-eight million, three hundred sixty-seven thousand, two hundred".