My sister also got a rank of around 57882. Yes, you can secure a seat in some NIT or IIIT in the spot counseling rounds. There are several factors that may affect the chances of admission in some NIT or IIIT for such a lower rank. These include -
Therefore, there are chances for students with low ranks in spot rounds to get a seat in institutes like NIT Nagaland, NIT Meghalaya, NIT Srinagar, etc.