Home button broken and Notification Center stuck my home button on my ipod touch 5th Gen has been broken for  while so I have been using assistive touch. Earlier on my notification centre got stuck half way down the lock screen, making my ipod completely unusable. 

I tried turning it off but the notification centre is blocking the slider and obviously I can't restart it since my home button is broken. Has anyone got any solutions? It's an absolute nightmare!
Press and hold the sleep-wake button to shut down the iPhone.

When you restart it, the notification center should be freed, but you will clearly have issues using the device if you lose control over the assistive touch, so be sure to set up backups the first chance you can.