Weird question, but you see how spicy food can be described by the word “spiciness”? How can one describe the feeling when cold water is drank? Do you know any adjective which describes this best?
The word coldness would be the equivalent here, although it may depend on which quality you are trying to describe.
Also, note that “spicy” and “cold” are adjectives, but “spiciness” and “coldness” are nouns.