Australia have replaced India at the top of the International Cricket Council's Test rankings, with Ireland 12th.
The annual update of the table, which removes points accrued in 2016-17 and gives greater weighting to more recent results, puts Justin Langer's team back on top spot for the first time in four years.
Australia's elevation over India, who slip to third behind New Zealand, comes despite their last away series win coming over New Zealand in February 2016.
Australia also top the Twenty20 table ahead of hosting the format's World Cup, still scheduled for October but under threat from coronavirus, while England's victory in last year's 50-over World Cup ensures they remain at the summit in one-day cricket. Eoin Morgan's men have climbed to second in T20s.
"We recognise how fluid these rankings are, but at this time it was certainly nice to put a smile on our faces," Langer told Cricket.com.au.
"We've got lots of work to do to get to be the team that we want to be, but hopefully over the last couple of years not only have we performed well on the field, but also off the field.
"You can only judge yourself as being the best if you beat the best and we've got some really tough opposition to come. Certainly a goal for us has been the World Test Championship ... but ultimately, we have to beat India in India and we've got to beat them when they come back (to Australia)."