The LaTeX command for biguplus (⊎) is \biguplus (big multiset union).
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Write \biguplus inside math mode, that is between $…$ for inline math or in a \[ … \] or equation block for display math. It is part of core LaTeX math, so no extra package is required.
Set notation lives in math mode: write $\biguplus$, even in the middle of a sentence. With unicode-math under XeLaTeX or LuaLaTeX, typing ⊎ in a formula gives the same symbol.
$A \biguplus B$Open this example in the live preview: it renders as you type, with no compiler and no signup.
\emptyset\varnothing\mathbb{N}\mathbb{Z}\mathbb{Q}\mathbb{R}\mathbb{C}\mathbb{F}^\complement\bigcap\bigcup\bigsqcup\uplus\mathcal{P}Set symbols in LaTeX: the full table or search all 350+ LaTeX symbols.
Use \biguplus in math mode; it needs no extra package. For example, $A \biguplus B$.
None: \biguplus is built into LaTeX, so no extra package is required.