Notwithstanding Section 16502, all other money in the State Treasury or under the control of the Treasurer belonging to or in the custody of the state, shall, so far as possible, be deposited by the Treasurer to the credit of the state in eligible banks as defined in Section 16500, eligible savings and loan associations, and eligible credit unions. Any sum in the State Treasury so deposited is deemed to be in the State Treasury. Any other amount so deposited is deemed to be held in trust by the Treasurer.