5185800 has 144 divisors (see below), whose sum is σ = 18086640. Its totient is φ = 1330560.

The previous prime is 5185781. The next prime is 5185801. The reversal of 5185800 is 85815.

It is not an unprimeable number, because it can be changed into a prime (5185801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77367 + ... + 77433.

Almost surely, 2^5185800 is an apocalyptic number.

5185800 is a gapful number since it is divisible by the number (50) 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 5185800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043320).

5185800 is an abundant number, since it is smaller than the sum of its proper divisors (12900840).

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

5185800 is a wasteful number, since it uses less digits than its factorization.

5185800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 5185800 is about 2277.2351657218. The cubic root of 5185800 is about 173.0899773629.

The spelling of 5185800 in words is "five million, one hundred eighty-five thousand, eight hundred".