The France U21 striker completed his move from Eintracht Frankfurt on Wednesday evening.
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But in a surprise announcement, Liverpool say they do not have a number for their latest signing.
Instead, Ekitike will wear the No54 on a temporary basis while he is part of Liverpool's tour of Asia.
Meanwhile, SGE chief Markus Krosche said of the £79m sale: "Hugo has developed tremendously in his one and a half years with us and has been a true asset to our team and the entire club both on and off the pitch.
"We are delighted that he can now take the next step – a step he has earned through his performances with us."