Cells have different maximum current ratings, depending on their internal construction. High discharge cells can be rated at massive currents - radio control flight packs are often like that.
Example:
SMC Racing HCL-HP 22.2V-5000mAh-80C Flight Pack HCL-HP 22.2V-5000mAh-80C. Our HCL-HP flight packs are made with 100% LCO cathodes for maximum cycle life and performance. You will not find a pack with better performance for the same weight. mAh +/- 5%: 5000mAh Voltage...
That's 5AH, 80C rating; 1C discharge is one hour rate, 5A. 80C is 400A!
Some packs are rated 100C or more.
Some electric car batteries use high current 18650s - Tesla did until they changed to a larger cell type.