The amount of times a man should urinate at night depends on the persons age and how much fluids they've had to drink before bed.
On average most men below 60 or 50 years of age wake up to pee at least once per night which usually happens around 12:00 AM to 3:00 AM
Some men of the same age may need to urinate at night 2 to 3 times which can be normal.
But sometimes urinating more often at night can be caused by an enlarged prostate.
It's very common and normal to have to urinate more often at night as you get older.
Urinating more than 10 times per day can be normal depending on how much you drink and whether you're drinking things with caffeine such as coffee.
Coffee that is caffeinated is a diuretic and some people who drink a cup of coffee may need to urinate within 10 minutes or even less after drinking that cup of coffee.
If I drink coffee I have to pee within about 10 minutes of drinking it so I try to not drink too much coffee if I'm going on a long road trip.
I sometimes pee 10 to 15 times per day myself and other days I only pee every 2 to 4 hours.
If you suddenly started peeing more than 10 times per day then you may have an overactive bladder and should see a doctor especially if the peeing more than 10 times per day still occurs after a week or so.
Everyone pees different amounts through the day and some people pee more than others.