Start at the w3C site for accessibility: https://www.w3.org/standards/webdesign/accessibility
Review https://www.w3.org/WAI/intro/accessibility.php for more details and then for tools review see https://www.w3.org/WAI/impl/software
Tools and website are listed at https://www.w3.org/WAI/eval/
Your most basic free tool is https://validator.w3.org/ where you can put in any public web address and get a report. The hard part is that there will frequently be a lot of issues that are not important to you. It can easily be 90% noise to 10% signal so you need to determine which issues that it reports are relevant for your business and your users.
I searched again for info in tools - turned out to be quite hard to separate out information that addresses usability of the tools themselves, by the developer, from usability of what the tools are building for use by end-users (what we are interested in), but here's what I found:
intelliJ Rubymine
https://www.jetbrains.com/resharper/docs/JetBrains_ReSharper_VPAT.docx
Eclipse:
http://www.eclipse.org/articles/Article-Accessibility/
ASP.NET - Visual Studio
https://marketplace.visualstudio.com/items?itemName=MadsKristensen.WebAccessibilityChecker
You may also find the following tool useful:
https://www.deque.com/products/axe
aXe is a free, open-source accessibility testing tool that runs right in your web browser.
Screen Readers
Standard for accessiblity testing