561934195200 has 1260 divisors, whose sum is σ = 2430174483990. Its totient is φ = 128337592320.

The previous prime is 561934195189. The next prime is 561934195217. The reversal of 561934195200 is 2591439165.

561934195200 is a `hidden beast` number, since 5 + 6 + 19 + 341 + 95 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 539978068224 + 21956126976 = 734832^2 + 148176^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 457228186 + ... + 457229414.

Almost surely, 2^561934195200 is an apocalyptic number.

561934195200 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 561934195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215087241995).

561934195200 is an abundant number, since it is smaller than the sum of its proper divisors (1868240288790).

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

561934195200 is an equidigital number, since it uses as much as digits as its factorization.

561934195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 561934195200 in words is "five hundred sixty-one billion, nine hundred thirty-four million, one hundred ninety-five thousand, two hundred".