I don't know about the sleep number, but most air mattress use very low pressure, 5psi or less. you can easily see 1-2psi change going from low to high elevation, enough that if it is full at low elevation you risk getting a slow leak at seams at high elevation.
We have an "air dream" mattress, what is used in high end sleeper sofa's, extremely comfortable, it is an air bladder over a coil spring. has worked well for us over the years in the trailer. It does require 110V to inflate. We ALWAYS make sure to mostly deflate it before traveling. going from sea level to 5,000 ft, the mostly deflated becomes mostly inflated.
Even 1500 ft elevation change makes a difference in inflation with this or a airbed mattress.