561432520000 has 280 divisors, whose sum is σ = 1598688131040. Its totient is φ = 193409280000.

The previous prime is 561432519971. The next prime is 561432520013. The reversal of 561432520000 is 25234165.

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 39 ways as a sum of consecutive naturals, for example, 8326422 + ... + 8393578.

It is an arithmetic number, because the mean of its divisors is an integer number (5709600468).

Almost surely, 2^561432520000 is an apocalyptic number.

561432520000 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 561432520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799344065520).

561432520000 is an abundant number, since it is smaller than the sum of its proper divisors (1037255611040).

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

561432520000 is a wasteful number, since it uses less digits than its factorization.

561432520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67219 (or 67194 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 561432520000 its reverse (25234165), we get a palindrome (561457754165).

The spelling of 561432520000 in words is "five hundred sixty-one billion, four hundred thirty-two million, five hundred twenty thousand".