agreed, your caloric intake does seem a little bit high considering your current weight, but again, theres more factors that weigh in that I can't take into consideration as much as your trainer can. My opinion, sit down with your trainer and explain to him your current diet, and how you react to certain foods and amounts. You may only need to drop that down to 4k to notice a little bit of difference without sacrificing any muscle. My guess is, you wont have any issue dropping the calories and noticing any muscle loss, just fat.
Agreed with the calorie calculators, easy way to find out YOUR body's needs! Start there.

Cheers