LED power supply limits

Projects General Guidance
1

I'm trying to build a large LED circuit and I was wondering if someone could tell me the maximum number of LED's I can run off of an arduino's 5V power supply.

I want to wire 12 LED rings that are each composed of 24 individual LEDs. The rings are NeoPixels from adafruit you can find them here. NeoPixel Ring - 24 x 5050 RGB LED with Integrated Drivers : ID 1586 : $16.95 : Adafruit Industries, Unique & fun DIY electronics and kits. The rings have two 5V in puts two grounds and one control in and one control out.

My plan was to wire them all in parallel to the power supply then individually control each of them with a separate control pin on my uno.

From what I understand I can't just run them all off the the Uno otherwise this will cause too large of a current. But I don't understand how large of a power supply I will need.

2

Each RGB when full on can draw 60mA of current.
Uno regulator is only good for 800mA, and then only if the barrel jack is fed with 7.5V - and even then the 800mA might not be reached before the regulator overheats.

12 rings x 24 LEDs/ring x 0.06A/LED = 17.28A