11850 has 24 divisors (see below), whose sum is σ = 29760. Its totient is φ = 3120.

The previous prime is 11839. The next prime is 11863. The reversal of 11850 is 5811.

It is a happy number.

11850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 14.

It is a zygodrome in base 5 and base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1240).

2¹¹⁸⁵⁰ is an apocalyptic number.

11850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

11850 is an abundant number, since it is smaller than the sum of its proper divisors (17910).

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

11850 is a wasteful number, since it uses less digits than its factorization.

11850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 11850 is about 108.8577052854. The cubic root of 11850 is about 22.7984917439.

It can be divided in two parts, 11 and 850, that added together give a triangular number (861 = T₄₁).

The spelling of 11850 in words is "eleven thousand, eight hundred fifty".