561600832716 has 864 divisors, whose sum is σ = 1948873472000. Its totient is φ = 135796953600.

The previous prime is 561600832711. The next prime is 561600832747. The reversal of 561600832716 is 617238006165.

561600832716 is a `hidden beast` number, since 5 + 6 + 1 + 600 + 8 + 3 + 27 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (561600832711) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2072327661 + ... + 2072327931.

Almost surely, 2^561600832716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561600832716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974436736000).

561600832716 is an abundant number, since it is smaller than the sum of its proper divisors (1387272639284).

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

561600832716 is a wasteful number, since it uses less digits than its factorization.

561600832716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 561600832716 in words is "five hundred sixty-one billion, six hundred million, eight hundred thirty-two thousand, seven hundred sixteen".