SpaceX, the sprawling company targeting the stars, Mars and an IPO

Elon Musk founded SpaceX in 2002 with the lofty goal of ferrying humans to Mars and setting up colonies on the neighboring planet.

Today the rocket company is sprawling — a major NASA contractor and satellite internet provider, it has also absorbed Musk's AI startup, which owns the social media site formerly called Twitter.

With a regulatory filing on Wednesday, the rocket and tech company announced it was aiming for liftoff of the largest IPO in history, raising $75 billion on a total valuation of $1.77 trillion.

The company will put more than 555 million shares up for sale at a price of $135 each, according to U.S. Securities and Exchange Commission (SEC) filings.