Charge on one electron is -1.602177 x 10
-19 C, so 5 E24 would provide -801.9 kC of charge, which is a lot of charge, and there is an equivalent magnitude of charge of positrons +801.9 kC. One might look into how one stores electrons in that quantity. Would could also calculate the force required to separate the charges as a function of distance. Positrons have to be stored in a magnetic field, since in contact with normal matter, they annihilate with electrons.
One should also look into the Breit-Wheeler process and the energy required to produce an electron positron pair with enough kinetic energy to separate far enough to avoid mutual attraction and annihilation. I suspect the process requires a lot more energy to produce two gammas of the required energy.
https://en.wikipedia.org/wiki/Breit–Wheeler_process#Experimental_observations
https://en.wikipedia.org/wiki/Two-photon_physics
https://physics.princeton.edu//~mcdonald/e144/e144trans_052897.pdf
Breit-Wheeler Process in Intense Short Laser Pulses
https://arxiv.org/abs/1209.2394
Normally, one would use gamma rays on a dense material (usually high Z) to induce pair production with an interaction of the gamma rays on nuclei, and then deflect positrons from electrons into a storage device.
https://en.wikipedia.org/wiki/Pair_production
What would be the purpose of generation such quantity of positrons?