561684411288 has 480 divisors, whose sum is σ = 2128346885280. Its totient is φ = 134667878400.

The previous prime is 561684411283. The next prime is 561684411307. The reversal of 561684411288 is 882114486165.

561684411288 is a `hidden beast` number, since 5 + 61 + 68 + 441 + 1 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561684411283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7095768 + ... + 7174488.

It is an arithmetic number, because the mean of its divisors is an integer number (4434056011).

Almost surely, 2^561684411288 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 561684411288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064173442640).

561684411288 is an abundant number, since it is smaller than the sum of its proper divisors (1566662473992).

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

561684411288 is a wasteful number, since it uses less digits than its factorization.

561684411288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78781 (or 78757 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 561684411288 in words is "five hundred sixty-one billion, six hundred eighty-four million, four hundred eleven thousand, two hundred eighty-eight".