An imperial unit (let's remember we got this from the Brits who now say they're metric... but are they?) is generally based on something in day-to-day life so they're relevant. They would have probably been named in the late 40's or early 50's. So I suspect the they'd be based on ways data was transmitted then.
- 4 taps (like on a telegraph) = 1 character
- so 1 tap is 2 bits
- 1 sheet (like paper) = 13,000 characters
- so 1 sheet = 52,000 taps = 104,000 bits
- ... etc
- 1 bankbox = 500 sheets = 26 million taps = 52 million bits
edit: fixed my maths