Police are looking at 120 lines of inquiry and possibly as many as 25 victims relating to the Jimmy Savile sex abuse claims.
Scotland Yard has formally recorded eight criminal allegations against the star, including two of rape and six of indecent assault.
Commander Peter Spindler, head of Specialist Crime Investigations, said the allegations span four decades and information so far suggests the abuse was on a "national scale".
Mr Spindler told reporters: "Information is coming in as we speak probably.
"The reality is this really has captured the public's mind. We are getting calls from victims, from witnesses and third parties who believe they know something about it.
He said the first incident dated back to about 1959 but most seemed to be in the 70s and 80s.
Scotland Yard has been in contact with ITV and the BBC to gather information, and they are contacting alleged victims they have been talking to to see if they will co-operate.
"We believe there are probably another 20 potential victims there," Mr Spindler added.
"It is too early for us to give you an accurate picture of what 120 lines of inquiry will distil down to but we believe we will come up with between 20 to 25 victims."