My hedgehog's had funny-looking stools for a couple of days. While hedgehogs are generally very healthy pets, and don't tend to experience too many problems, there are some that should be mentioned.
Hedgehogs are small.
While they generally enjoy very good health, any kind of disease or disorder can be fatal in only a couple of days, so if you suspect a problem, see your vet immediately. As time goes on, I hope to add any known treatments, either veterinary or home-applied that I can learn, here. Usually the nose, itself, doesn't suffer much in the way of problems, but it can show up other problems, especially respiratory troubles, such as pneumonia. In many cases, the form of pneumonia that affects hedgehogs is bacterial in nature, which means that if you act quickly enough, antibiotics can have a very positive effect. Signs to watch for include bubbles, excessive dripping or constant sneezing.