All of Katy Perry’s out-of-this-world ‘Lifetimes’ tour outfits. Kevin Mazur/Getty Images for Katy Perry Katy Perry has gone above and beyond with her extravagant “Lifetimes” tour looks.

All of Katy Perry’s out-of-this-world ‘Lifetimes’ tour outfits. Kevin Mazur/Getty Images for Katy Perry Katy Perry has gone above and beyond with her extravagant “Lifetimes” tour looks.

The “Teenage Dream” singer, 40, kicked off her fifth concert tour in Mexico City on Wednesday, rocking several over-the-top outfits and referencing her Blue Origin space flight earlier this month.

Even as the entire world has crashed around Katy Perry over the course of the past year — from the universal rejection of “Woman’s World” to her space adventure to her new Lifetimes Tour ...