5185588688 has 80 divisors (see below), whose sum is σ = 11740605696. Its totient is φ = 2172718080.

The previous prime is 5185588679. The next prime is 5185588691. The reversal of 5185588688 is 8868855815.

It is a super-3 number, since 3×5185588688³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 5185588688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1856573 + ... + 1859363.

Almost surely, 2^5185588688 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 5185588688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870302848).

5185588688 is an abundant number, since it is smaller than the sum of its proper divisors (6555017008).

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

5185588688 is a wasteful number, since it uses less digits than its factorization.

5185588688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3166 counting only the distinct ones).

The product of its digits is 24576000, while the sum is 62.

The square root of 5185588688 is about 72011.0317104261. The cubic root of 5185588688 is about 1730.8762629617.

The spelling of 5185588688 in words is "five billion, one hundred eighty-five million, five hundred eighty-eight thousand, six hundred eighty-eight".