5185768806 has 96 divisors (see below), whose sum is σ = 11958710400. Its totient is φ = 1621186560.

The previous prime is 5185768769. The next prime is 5185768871. The reversal of 5185768806 is 6088675815.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7212115 + ... + 7212833.

It is an arithmetic number, because the mean of its divisors is an integer number (124569900).

Almost surely, 2^5185768806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5185768806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979355200).

5185768806 is an abundant number, since it is smaller than the sum of its proper divisors (6772941594).

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

5185768806 is a wasteful number, since it uses less digits than its factorization.

5185768806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5185768806 is about 72012.2823273919. The cubic root of 5185768806 is about 1730.8963030112.

The spelling of 5185768806 in words is "five billion, one hundred eighty-five million, seven hundred sixty-eight thousand, eight hundred six".