561718256256 has 192 divisors, whose sum is σ = 1735595035200. Its totient is φ = 173742858240.

The previous prime is 561718256237. The next prime is 561718256287. The reversal of 561718256256 is 652652817165.

561718256256 is a `hidden beast` number, since 5 + 6 + 1 + 7 + 1 + 8 + 2 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×561718256256² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1188475 + ... + 1592453.

It is an arithmetic number, because the mean of its divisors is an integer number (9039557475).

Almost surely, 2^561718256256 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 561718256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867797517600).

561718256256 is an abundant number, since it is smaller than the sum of its proper divisors (1173876778944).

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

561718256256 is a wasteful number, since it uses less digits than its factorization.

561718256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404087 (or 404072 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 561718256256 in words is "five hundred sixty-one billion, seven hundred eighteen million, two hundred fifty-six thousand, two hundred fifty-six".