I've recently got my shiny, new Dell XPS 13 (9350). After installing Ubuntu 16.04, everything worked without a hitch. Excellent. One thing that did bother me however was inadvertently hitting the touchpad while typing.
Here is a simple solution to enable/disable the touchpad on-demand via keyboard shortcuts:
Figure out the id of your touchpad:
xinput list
On my laptop, the id is 12. Touchpad can be turned on/off as follows:
xinput enable 12
xinput disable 12
To configure the keyboard shortcut, use:
System Settings => Keyboard => Shortcuts
That's it. :-)