One advantage of DC is that it can easily be supported by batteries. In the days before large power distribution networks, a single factory or a (very) large house might have a private generator, driven by a steam engine.
With AC, there was no way to store the energy, so you had to have a very big generator to meet peak load, and if you wanted power around the clock, you had to pay someone to shovel coal around the clock.
With DC, you could have a smaller generator, run closer to full power during the day, and shut-down at night.
Modern semiconductor inverters allow us to drive the AC grid from batteries, but in 1900, getting AC from DC required moving parts.
As mentioned above, most power distribution is at 50/60Hz, because you simply need a transformer to make it useful to the consumer. However, there are some transmission lines (like the one under the English Channel) which are DC to eliminate reactive power and associated losses. There is a pair of 2GW rectifier-inverters at Calais and Folkstone.
One advantage of high frequencies is that you can get away with smaller transformers. That's the main reason modern consumer PSUs are smaller and lighter than the precursors, and why (I believe) many aeroplanes use 400Hz power distribution.