561720000 has 280 divisors, whose sum is σ = 1929782272. Its totient is φ = 144000000.

The previous prime is 561719993. The next prime is 561720011. The reversal of 561720000 is 27165.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 3719925 + ... + 3720075.

Almost surely, 2^561720000 is an apocalyptic number.

561720000 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 561720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964891136).

561720000 is an abundant number, since it is smaller than the sum of its proper divisors (1368062272).

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

561720000 is a wasteful number, since it uses less digits than its factorization.

561720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 561720000 is about 23700.6329029416. The cubic root of 561720000 is about 825.1000796863.

Adding to 561720000 its reverse (27165), we get a palindrome (561747165).

The spelling of 561720000 in words is "five hundred sixty-one million, seven hundred twenty thousand".