Description:
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LONG_MAX is differs from platform to platform. 
Because zval internally uses a signed long for integer fields when the value in the script is over LONG_MAX, or under -LONG_MAX-1 then the value is fit into a double. When using mysqli_stmt_bind_param with such a value and "i" modifier then the value is converted back to long, which results in incorrect results - like if the VALUE was LONG_MAX+1 the result will be -1 (internally it is a signed long).

Test script:
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CREATE TABLE tint(a bigint unsigned);


./php -r '$c=mysqli_connect("127.0.0.1","root","root","test");$s=$c->prepare("insert into tint values(?)");$param=4294967295;$s->bind_param("i",$param);var_dump($s->execute());'
bool(true)

Expected result:
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Don't bork the data. Check if the value can't be fit into a long, and if this is the case use string to send to the server (changing the modifier to "s" just for the next execution, preserve "i" for further executions).

Actual result:
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-1