We pick i.root-servers.net, one of the 13 root servers (1), and ask it about facebookappmail.com and learn that com is delegated to 13 name servers (2), so we ask k.gtld-servers.net where we learn that facebookappmail.com is delegated to two name servers, including a.ns.facebook.com (3), so we ask that one and get the following answer:
Three of them point to the IP number 69.63.179.27. Worth noting is that three of the host names that point to the IP number 69.63.179.27 use the mail server msgin.t.facebook.com.
The IP number 69.63.179.27
There are five host names that point to the IP number 69.63.179.27.