You can know by using the bellow commands:
1. SELECT @@VERSION---You can get the total details of your Sql server.
2. SELECT SERVERPROPERTY('Edition')---You can get only Edition name of your Sql server. like Standard,Developer etc.
3. SELECT SERVERPROPERTY('EditionID')---You can get only Edition IDof your Sql server. like -1534726760,-2117995310 etc.