Hello.
The first thing is to check the internal hardware log on the server, most servers have an internal management device (ILO, ASMI, IDRAC .. and more) that allows you to check logs and other tasks without stopping.
The second thing is space, you should check the space on your ESXi host.
Log into the ESXi host with an SSH connection and execute the following commands:
df -h
vdf
vmware -v
Finally the level of patches installed.
The Version 5 is very very old and out of support, the latest patch stack is ESXi550-201809001 (build 9919047), it is recommended that you apply it.
For version 6.0 the latest patch stack is ESXi600-202002001 (Build 15517548).
Attached link where you can get them, if you don't have user for the web site, you can register for free.
https://customerconnect.vmware.com/patch/
Enrique Espinel
Senior Technical Support on IBM, Lenovo, Veeam Backup and VMware vSphere.
VSP-SV, VTSP-SV, VTSP-HCI, VTSP
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