561216094560 has 480 divisors, whose sum is σ = 2172099815424. Its totient is φ = 135333504000.

The previous prime is 561216094559. The next prime is 561216094603. The reversal of 561216094560 is 65490612165.

561216094560 is a `hidden beast` number, since 5 + 6 + 1 + 21 + 60 + 9 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 27218655 + ... + 27239265.

Almost surely, 2^561216094560 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 561216094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086049907712).

561216094560 is an abundant number, since it is smaller than the sum of its proper divisors (1610883720864).

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

561216094560 is a wasteful number, since it uses less digits than its factorization.

561216094560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840 (or 20823 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 561216094560 in words is "five hundred sixty-one billion, two hundred sixteen million, ninety-four thousand, five hundred sixty".