561116160 has 528 divisors, whose sum is σ = 2253206592. Its totient is φ = 132710400.

The previous prime is 561116147. The next prime is 561116177. The reversal of 561116160 is 61611165.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13685740 + ... + 13685780.

Almost surely, 2^561116160 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 561116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126603296).

561116160 is an abundant number, since it is smaller than the sum of its proper divisors (1692090432).

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

561116160 is a wasteful number, since it uses less digits than its factorization.

561116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 561116160 is about 23687.8905772549. The cubic root of 561116160 is about 824.8043172258.

The spelling of 561116160 in words is "five hundred sixty-one million, one hundred sixteen thousand, one hundred sixty".