Moses’ distinctive honor is being Kalim Allah, one addressed by Allah. The Qur’an expressly affirms that Allah spoke to him.
وَكَلَّمَ اللَّهُ مُوسَى تَكْلِيمًا
Allah spoke to Moses. (Al-Nisa 4:164)
This is among the great distinctions of his prophethood. It is affirmed through the explicit wording of the Qur’an.