unearthly hour/time
noun
        British      
      
                                
                                
              
          
                                                      : a time of day that is unreasonably early or late                                      
              
                             
She was up at an/some unearthly hour.
                                       We left at the unearthly time of 4:00 a.m.
                         
                
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  Merriam-Webster unabridged




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