The maximum number of points in the mobile application
The maximum number of points that can be stored at any one time is what is called the POI limit. Default limit is 50 POI. If you want to increase the limit, you can buy "POI limit 500, 1500 or 5000".
In the web application you can also recommend POI pocket to friends and get a limit increase for free (Web app - Account settings - Recommend POI pocket).