The RecipientRateLimit policy parameter specifies the limit on the number of recipients that a user can address in a 24-hour period. For example, if this value is set to 500, it means that a single Exchange mailbox account can send messages
to no more than 500 recipients each day. This limit applies to messages to recipients that are inside and outside the organization. This default limit might cause problems for some line-of-business applications that do end-of-month invoice runs and need to
send messages to more than this number of recipients. You can use external services that enable batch processing of messages or separate on-premises outbound relay solutions to work around this limitation.
You can use Get-ThrottlingPolicy and Set-ThrottlingPolicy cmdlets to determine current and specify your own values of RecipientRateLimit parameter.
https://technet.microsoft.com/en-us/library/dd298094%28v=exchg.141%29.aspx
Also you can create your own policy by New-ThrottlingPolicy cmdlet then assign it to mailbox you want by
Set-Mailbox with -ThrottlingPolicy parameter.
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Proposed as answer by
Amit TankMVP, Moderator
8 hours 15 minutes ago