561216000 has 320 divisors, whose sum is σ = 1940590080. Its totient is φ = 143769600.

The previous prime is 561215987. The next prime is 561216011. The reversal of 561216000 is 612165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7103961 + ... + 7104039.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2^561216000 is an apocalyptic number.

561216000 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 561216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970295040).

561216000 is an abundant number, since it is smaller than the sum of its proper divisors (1379374080).

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

561216000 is an equidigital number, since it uses as much as digits as its factorization.

561216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 561216000 is about 23689.9978894047. The cubic root of 561216000 is about 824.8532337635.

Adding to 561216000 its reverse (612165), we get a palindrome (561828165).

It can be divided in two parts, 5612 and 16000, that added together give a palindrome (21612).

The spelling of 561216000 in words is "five hundred sixty-one million, two hundred sixteen thousand".