It would cost a lot more than that. There are 59 white balls and 35 red balls. In total there are 21,026,821,200 possible outcomes (59*58*57*56*55*35). So the cost to cover all the possible draws is over $42 billion.
Since the order in which the first 5 balls shows up does not matter.
You divide that number by 5*4*3*2*1=120
So 21,026,821,200/120=175,223,510