The family reached a climax of its might at the turn of the 18th century, when it possessed 78 villages, several castles, fortresses, churches and monasteries as well as 1,500 serf households.
Abašidzed jõudsid oma võimsuse tippu 18. sajandi vahetusel, kui neile kuulus 78 küla, losse, kindlusi, kirikuid ja kloostreid, samuti 1500 pärisorjade majapidamist.