Angels general manager Tony Reagins made the announcement.
The list includes nine pitchers, five catchers, seven infielders and four outfielders.
"This is a great opportunity for our young prospects to get a feel for what we do in the spring, our philosophies about how to play the game the right way," manager Mike Scioscia said. "It's been invaluable to our young players through the years."
The pitchers are right-handers Ryan Brasier, Ryan Braun, Ryan Chaffee, Tyler Chatwood, Eric Junge, Garrett Richards and southpaws Matt Meyer, Trevor Reckling and Andrew Taylor.
The catchers are Anel De Los Santos, Jose Jimenez, Carlos Ramirez, Kevin Richardson and Alberto Rosario. Infielders Alexi Amarista, Gabe Jacobo, Kevin Melillo, Efren Navarro, Darwin Perez, Jean Segura and Gil Velasquez and outfielders Trout, Tyson Auer, Angel Castillo and Travis Witherspoon round out the group of 25 invitees.
Lyle Spencer is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.