soft•ware /ˈsɔftˌwɛr, ˈsɑft-/ n. [ uncountable * used with a singular verb] Computing Computing programs for directing a computer or processing electronic data (distinguished from hardware). Radio and Television any material requiring the use of equipment, esp. audiovisual material such as film, tapes, or records.

So again: to answer your question directly, there is no plural form. Software is like water; you can have "a lot" of it, but you can't have "many" (or "dozens", or "hundreds", etc.) of it.

The plural form of software is software. This is true even when you’re referring to multiple programs. Softwares (with an S at the end) isn’t an actual word, but some individual software developers have chosen to use it as part of their company names.

As pointed out in your question software is a mass noun also known as uncountable. Some uncountable nouns can be used in plural, and Google n-grams reports a number of instances for softwares: "These softwares permit simple mapping of the existing data and offer good compatibility with other softwares."