* Sight: Anglerfish have eyes, but their vision is likely limited in the deep-sea environment where they live.
* Taste: Anglerfish have taste buds in their mouths, which they use to detect prey.
* Touch: Like all fish, anglerfish have a sense of touch through their skin.
* Smell: They possess olfactory organs, allowing them to detect chemicals in the water, including pheromones and prey scents.
* Hearing: While their hearing is not as well-developed as other fish species, they can still detect vibrations in the water.
Additionally, they might possess a sixth sense, which is a sense of electroreception. Some anglerfish species have specialized organs called ampullae of Lorenzini** which can detect electrical fields produced by other animals. This is particularly useful for hunting in the dark depths where vision is limited.
Therefore, the answer to your question is at least five, and potentially six. More research is needed to understand the full range of senses in anglerfish.