With IPHost Network Monitor you can run simple snmp requests against a Eaton device in your network.
upsmgBatteryRechargeTime
UPS Manager Battery Recharge Time
1.3.6.1.4.1.705.1.5.3
The actual operational battery recharge time to set point equal to upsmgConfigRechargeLevel. This value is computed from upsmgConfigRechargeLevel (level to reach), upsmgBatteryLevel (the actual reached level) and the UPS charge rate.
Back to MG-SNMP-UPS-MIB MIB page.
IPHost Network monitor allows you to monitor upsmgBatteryRechargeTime on Eaton device via the SNMP protocol. Download IPHost Network Monitor (500 monitors for 30 days, 50 monitors free forever) to start monitoring Eaton UPSes right now.