Since this an opensource tool, your Information Security team can answer many questions on their own. Some questions can only be answered by the administrator of the selfhosting environment (e.g. Database security, since the database is not shipped with LimeSurvey).
When I look at the amount of questions, I would assume that codereview by your IS-team is standard.
The security issues of the past can be found here.
www.cvedetails.com/vulnerability-list/ve...6900/Limesurvey.html
The code tests used (Scrutinizer and TravisCI) can be found here.
github.com/LimeSurvey/LimeSurvey
No continuous tests for security are known to me. If someone would conduct them, they would be known to the public (Cause the amount of time and money would raise some interest or demands). The SaaS offer by LimeSurvey GmbH might be different.