54th century

To the Ninth Doctor's recollection, the Cyber-Empire annexed Malleon in the early 54th century, in either the 5300s or 5310s. (COMIC: The Bidding War)

In either 5324 or 5325, the Doctor's memories of the Last Great Time War were put up for auction by Addison Delamar on Nomicae. Among the bidders were the Cybermen, who laid waste to Nomicae. In light of this, Tara Mishra, one of the Doctor's companions, chose to stay behind for a while to provide assistance to the survivors. (COMIC: The Bidding War)

The Eleventh Doctor found himself in the year 5345 after passing through a portal on Earth in 1941. (TV: The Doctor, the Widow and the Wardrobe) The Twelfth Doctor visited Mendorax Dellora in 5343. (TV: The Husbands of River Song)

Humanity was confined to Mutter's Spiral until the discovery of the intergalactic drive in the 54th century. (AUDIO: The Star Men)