5585563656 has 160 divisors (see below), whose sum is σ = 16635041280. Its totient is φ = 1744934400.

The previous prime is 5585563651. The next prime is 5585563657. The reversal of 5585563656 is 6563655855.

5585563656 is a `hidden beast` number, since 5 + 5 + 8 + 556 + 36 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5585563651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2984401 + ... + 2986271.

It is an arithmetic number, because the mean of its divisors is an integer number (103969008).

Almost surely, 2^5585563656 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 5585563656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317520640).

5585563656 is an abundant number, since it is smaller than the sum of its proper divisors (11049477624).

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

5585563656 is a wasteful number, since it uses less digits than its factorization.

5585563656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2164 counting only the distinct ones).

The product of its digits is 16200000, while the sum is 54.

The square root of 5585563656 is about 74736.6286100731. The cubic root of 5585563656 is about 1774.2807275242.

The spelling of 5585563656 in words is "five billion, five hundred eighty-five million, five hundred sixty-three thousand, six hundred fifty-six".