It depends on whether you have enough income to file a tax return. If with the rental income you do not have enough income you don't have to file a return. However, if with the rental income you do have enough to file a tax return you need to report but it should be offset with the mortgage and other deductions.
Disability is not needs based, so I do not think this would be necessary. If you were receiving SSI, that would be different. In that case, you would need to let them know.
You don't mention in your question whether the "long term disability" you are receiving is paid by a private (contractual) source such as a disability insurance policy or by the Social Security Administration. For Social Security Disability the amount of payment you receive shouldn't make any difference as disability is not "asset driven" meaning you are entitled to it regardless of your income. A disability insurance policy will depend on what the policy says. Payments from a private source may be taxable as would the rent received by you.
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