This sounds way too much - prohibitive, in fact, when cheap all-you-can-eat dubiously-legal IPTV services exist.
On the one hand, AWS quote something similar as an estimate ($12,000 for 10 hours for 10,000 viewers at 1080p) [0]. All but a rounding error of this is paid to AWS CloudFront for per-GB distribution costs and this assumes 99% of bits can be served by the CDN.
On the other hand, Amazon note that this is typically an overestimate because it's unlikely all your viewers will get the 1080p, and they can degrade service to some (QVBR) and pass you on the savings. Additionally, Twitch video content (disproportionately, video games) seems like it should be more compressible than most video. And most importantly, Twitch don't pay the retail price.
Still, it's going to come in an order of magnitude above what I thought Youtube/Twitch etc needed to pay their bills.
[0] https://docs.aws.amazon.com/solutions/latest/live-streaming-...