How to invite more than 5,000 emails to your facebook fan page without been blocked?

[Engineer]

[Comicbook Reader]

You don't. This will automatically trigger a spam attack alert and lock your email down.

[Ted Pack]

You could try Mail Chimp. Many non-profit organizations use it to sending either large attachments or to many people, or both. For example, a church wants to send a 500 KB newsletter to 300 households once a month. There are other services. MC is the most common mentioned when I asked basically the same question you did - how to send e-mail to large numbers of people without being labeled a spammer - to a mailing list of fellow church web masters.