561432211200 has 864 divisors, whose sum is σ = 2366873510400. Its totient is φ = 127561236480.

The previous prime is 561432211199. The next prime is 561432211253. The reversal of 561432211200 is 2112234165.

561432211200 is a `hidden beast` number, since 5 + 6 + 1 + 432 + 21 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×561432211200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216517104 + ... + 216519696.

Almost surely, 2^561432211200 is an apocalyptic number.

561432211200 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 561432211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183436755200).

561432211200 is an abundant number, since it is smaller than the sum of its proper divisors (1805441299200).

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

561432211200 is a wasteful number, since it uses less digits than its factorization.

561432211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 561432211200 its reverse (2112234165), we get a palindrome (563544445365).

The spelling of 561432211200 in words is "five hundred sixty-one billion, four hundred thirty-two million, two hundred eleven thousand, two hundred".