A heavy helicopter engine would use an engine core of similar power as in a CF-34 engine for the C909 or a WS-21 engine for the J-35 I think.
Apparently the CJ-500 project has been archived/put on the back burner for the time being (if not being discarded).
Speaking of turboshaft engines - There is the WJ-10, which is the most powerful indigenous turboshaft engine in active service in China right now (~1600 to ~1800 kW).
In the meantime, there should be a 2000 kW-class turboshaft engine in the works right now, which should enable Z-8/18-sized helicopters to be powered with only 2x such engines instead of 3x weaker engines, alongside one such engine for a ~5-ton-class compound helicopter.
At the same time, we do know that the developmental work on a 5000 kW-class turboshaft engine is underway. Coupled with the prior news of both a 20-ton-class helicopter and a 30-ton-class helicopter in the works - The 20-ton-class helicopter could be powered by 2x of the 5000 kW-class engines, and the 30-ton-class helicopter could be powered by 3x of the same engines.
(There is also a claim/allegation of a 8000 kW-class turboshaft engine in the works (meaning that only 2x such engines are required for a 30-ton-class helicopter).)
In addition, the 5000 kW-class engines can certainly be further developed to power the Chinese counterpart to the V-22 Osprey.