Both my nipples are numb. I literally cannot feel them when I touch them, is that normal?

Your very early in the recovery period. It is not uncommon for patients to experience numbness or hypersensitivty after surgery - this is temporary and you should regain normal sensation. Regards, 

Hello,Sensation loss is common for a period post op. The nerves will repair and regenerate over roughly 6 months and usually sensation returns. Talk with your Plastic Surgeon about any ongoing concerns.All the best

Thank
you for your question. It is not uncommon to experience hypo or
hypersensitivity that early after surgery. The good news is that permanent loss of nipple
sensation is extremely rare. Of those women who reports loosing feeling, 90%
got it back over the next year. Please
consult with your plastic surgeon about ongoing concerns. Good luck!

Temporary numbness of the nipples can occur after breast augmentation surgery.  If this is a temporary phenomena sensation should return by 6 weeks.  If you have unusual sensations such as sharp pains or other abnormal feeling occurring spontaneously it can be a good sign that sensation will return.  The risk of permanent numbness of the nipple after breast augmentation is about 5%.  It would be unusual to  lose sensation on both sides permanently.  Of course discuss this with your plastic surgeon.