561165336576 has 384 divisors, whose sum is σ = 1757044729440. Its totient is φ = 171558567936.

The previous prime is 561165336527. The next prime is 561165336583. The reversal of 561165336576 is 675633561165.

561165336576 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 65 + 3 + 3 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755269261 + ... + 755270003.

Almost surely, 2^561165336576 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 561165336576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878522364720).

561165336576 is an abundant number, since it is smaller than the sum of its proper divisors (1195879392864).

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

561165336576 is a wasteful number, since it uses less digits than its factorization.

561165336576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 958 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The spelling of 561165336576 in words is "five hundred sixty-one billion, one hundred sixty-five million, three hundred thirty-six thousand, five hundred seventy-six".