5585868288 has 720 divisors, whose sum is σ = 22159112976. Its totient is φ = 1331527680.

The previous prime is 5585868283. The next prime is 5585868289. The reversal of 5585868288 is 8828685855.

5585868288 is a `hidden beast` number, since 558 + 58 + 6 + 8 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585868283) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 32288170 + ... + 32288342.

Almost surely, 2^5585868288 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 5585868288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11079556488).

5585868288 is an abundant number, since it is smaller than the sum of its proper divisors (16573244688).

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

5585868288 is a wasteful number, since it uses less digits than its factorization.

5585868288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its digits is 49152000, while the sum is 63.

The square root of 5585868288 is about 74738.6666190935. Note that the first 4 decimals coincide. The cubic root of 5585868288 is about 1774.3129828700.

The spelling of 5585868288 in words is "five billion, five hundred eighty-five million, eight hundred sixty-eight thousand, two hundred eighty-eight".