To uninstall libapt-pkg5.0 just follow these instructions.
/linuxmint/serena/backport///install/index.html package management runtime library managing packages as well as information about packages. Higher-level package managers can depend upon this library. Linux Mint 18.1 libs 1.2.17
sudo apt-get remove libapt-pkg5.0
Which will remove just the libapt-pkg5.0 package itself.
sudo apt-get remove --auto-remove libapt-pkg5.0
This will remove the libapt-pkg5.0 package and any other dependant packages which are no longer needed.
If you also want to delete your local/config files for libapt-pkg5.0 then this will work.
sudo apt-get purge libapt-pkg5.0
Or similarly, like this libapt-pkg5.0
sudo apt-get purge --auto-remove libapt-pkg5.0
|Maintainer||APT Development Team
|Description||package management runtime library managing packages as well as information about packages. Higher-level package managers can depend upon this library.|