Former U.S. President Donald Trump faces a formidable task defending against charges that he illegally kept top-secret documents upon leaving the White House in 2021, according to legal experts, who say neither the law nor the facts appear to be on his side.

Trump, who is a candidate to run again in the 2024 election, pleaded not guilty in Florida federal court on Tuesday. The 37 counts against him include violations of the Espionage Act, conspiracy to obstruct justice and making false statements to investigators.

National security law experts were struck by the breadth of evidence in the indictment, which includes documents, photos, text messages, audio and witness statements. They said this made a strong case for prosecutors’ allegation that Trump illegally took the documents and then tried to cover it up.