561963905985664 has 512 divisors, whose sum is σ = 1465471268352000. Its totient is φ = 208430700871680.

The previous prime is 561963905985661. The next prime is 561963905985679. The reversal of 561963905985664 is 466589509369165.

It is not an unprimeable number, because it can be changed into a prime (561963905985661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38045074599 + ... + 38045089369.

It is an arithmetic number, because the mean of its divisors is an integer number (2862248571000).

Almost surely, 2^{561963905985664} 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 561963905985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732735634176000).

561963905985664 is an abundant number, since it is smaller than the sum of its proper divisors (903507362366336).

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

561963905985664 is a wasteful number, since it uses less digits than its factorization.

561963905985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16596 (or 16584 counting only the distinct ones).

The product of its (nonzero) digits is 11337408000, while the sum is 82.

The spelling of 561963905985664 in words is "five hundred sixty-one trillion, nine hundred sixty-three billion, nine hundred five million, nine hundred eighty-five thousand, six hundred sixty-four".