Hi,

It is Difficult to predict on the basis of rank alone The seat allotment of  institutions like NITs , IIITs depends on factors like:

• Gender of Student
• Category of student
• Community of student
• Home state of student

With 57000 OBC rank, it is difficult to get NITs, IIITs. You can apply to these colleges seperately. These colleges accept JEE mains rank for their admission:

• Government College of Engineering, Karad
• Government College of Engineering, Amravati
• National Fire Service College, Nagpur
• Usha Mittal Institute of Technology, Mumbai
• Shivaji University, Kolhapur
• BAMU Aurangabad - Dr Babasaheb Ambedkar Marathwada University
• Dr Panjabrao Deshmukh Krishi Vidyapeeth, Akola

To know what other colleges you can get , you should use this tool: https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

I hope this will answer your query.

Thanks!!!!!