5185286768 has 80 divisors (see below), whose sum is σ = 10645032960. Its totient is φ = 2443257600.

The previous prime is 5185286753. The next prime is 5185286779. The reversal of 5185286768 is 8676825815.

It is a happy number.

Its product of digits (6451200) is a multiple of the sum of its prime divisors (1680).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3524273 + ... + 3525743.

It is an arithmetic number, because the mean of its divisors is an integer number (133062912).

Almost surely, 2^5185286768 is an apocalyptic number.

5185286768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5185286768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322516480).

5185286768 is an abundant number, since it is smaller than the sum of its proper divisors (5459746192).

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

5185286768 is a wasteful number, since it uses less digits than its factorization.

5185286768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1680 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 56.

The square root of 5185286768 is about 72008.9353344430. The cubic root of 5185286768 is about 1730.8426700992.

The spelling of 5185286768 in words is "five billion, one hundred eighty-five million, two hundred eighty-six thousand, seven hundred sixty-eight".