How many ip addresses will an airport extreme handle?

I have about 60 devices in my home that need an IP address and can only imagine with the Internet of Things, wearables, security etc. that it will go higher in the future.
How many IP addresses will an Airport Extreme or Time Capsule handle reliably? 
Thanks -

About 250 total wireless and Ethernet addresses, with a limit of 50 for wireless devices........assuming that it is the AirPort Extreme or Time Capsule that is acting as the router handing out the IP addresses.

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    Message was edited by: JPA3003

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