The term "scandalous number" isn't a widely recognized mathematical concept, so it might refer to something specific in a particular context or just be a playful expression.
However, if you're looking for interesting or "scandalous" numbers in mathematics, some people might point to:
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Googol and Googolplex: A googol is 10^100, and a googolplex is 10 to the power of a googol (10^(10^100)). The sheer size of these numbers can be perplexing and almost scandalous in their vastness.
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Transcendental Numbers: Numbers like π (pi) and e are scandalous in the sense that they are not only irrational (they cannot be expressed as a fraction of two integers) but also transcendental, meaning they are not roots of any non-zero polynomial equation with rational coefficients.
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Chameleon numbers - These are numbers that can change value depending on the context or operation, often causing confusion, much like a scandal in public perception.
If you meant something else by "scandalous number," feel free to clarify!