padic Analysis
What is the required math to understand padic Analysis?

Can you be more specific? That's like asking "what math do I need to understand quantum mechanics".... as with any such question, it depends on how deeply you want to understand it.
Perhaps you might start with a paper you don't understand, or terminology that you recognise comes from algebra but aren't familiar enough with to make sense of the paper. As asked, I think the answer to your question is analysis and algebra. A Master's degree should suffice. 
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