The notion of zero is philosophical as well as mathematical in Hinduism. Here is an explanation:
The Sanskrit word for zero is sunya which translates as “nothingness.” Brahman, God in his formless, immutable, timeless, memory-less state prior to Creation, is called Nirguna Brahman or Brahman with no attributes. Nirguna Brahma exists in nothingness. With the happening of Creation, Nirguna Brahma becomes Saguna Brahma, the God with attributes who is Ishvar. Zero symbolizes God in nothingness. Zero added to or subtracted from any number does not change the number. The sum of zero and zero is zero. Zero added to or subtracted from itself remains zero. Multiplied by itself, zero is still zero. However, the addition of zero to the right of any number (without a decimal point) increases it up to infinity and its addition to the left of any number (with a decimal point) decreases it down to the infinitesimal.
Zero’s complement must be “everythingness.” Everythingness differs from everything just like “nothingness” differs from nothing. The idea of zero embraces the idea of its opposite, totality. We say God is everythingness and nothingness because we have no better words to describe the unfathomable existence or nonexistence that transcends itself. Thus, zero to Hinduism is more than a mathematical tool. It represents God’s truth that lies beyond human experience and the material world, truth that is just beyond the reach of the human mind.
See Chapter Three, Monotheism in On Hinduism, by Irina N. Gajjar