The invention relates to an exhaust gas cooler (1) having stacked disc pairs (2), wherein a first flow chamber (4) through which coolant can flow is formed between two discs (3) of at least one first disc pair (2) or of multiple first disc pairs (2), and wherein a second flow chamber (5) through which exhaust gas can flow is formed between two mutually adjacent second disc pairs (2), with at least one coolant inlet (6) and a coolant outlet (7). The invention is characterised in that each first disc pair (2) has multiple coolant inlets (6) and multiple coolant outlets (7) disposed around the edge of the disc pair (2) to allow all-round edge cooling of the exhaust gas cooler (1). Exhaust gas cooler (1) with.
