5585856864 has 192 divisors, whose sum is σ = 17433884160. Its totient is φ = 1532805120.

The previous prime is 5585856863. The next prime is 5585856869. The reversal of 5585856864 is 4686585855.

It is a junction number, because it is equal to n+sod(n) for n = 5585856798 and 5585856807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585856863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761072 + ... + 1764240.

It is an arithmetic number, because the mean of its divisors is an integer number (90801480).

Almost surely, 2^5585856864 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 5585856864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716942080).

5585856864 is an abundant number, since it is smaller than the sum of its proper divisors (11848027296).

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

5585856864 is a wasteful number, since it uses less digits than its factorization.

5585856864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3285 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 60.

The square root of 5585856864 is about 74738.5901927512. The cubic root of 5585856864 is about 1774.3117732839.

The spelling of 5585856864 in words is "five billion, five hundred eighty-five million, eight hundred fifty-six thousand, eight hundred sixty-four".