Count is numeric, and are integer and positive values.
The appropriate type for this, therefore, is INTEGER UNSIGNED
(integer WITHOUT sign). In this family, we have these possibilities:
TIPO BYTES SIGNED UNSIGNED
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TINYINT 1 de -128 a 127 de 0 a 255
SMALLINT 2 de -32768 a 32767 de 0 a 65535
MEDIUMINT 3 de -8388608 a 8388607 de 0 a 16777215
INT 4 de -2147483648 a 2147483647 de 0 a 4294967295
BIGINT 8 de -2^63 a 2^63-1 de 0 a 2^64-1
Choose the type that best suits your case by predicting the maximum number you want to store.
More details in the manual:
link