27595 is a member of OEIS A082550: number of nonempty subsets of {1, 2, ..., n} that contain n and have a sum that is divisible by n, here n=19. Alternatively, the number of sets of distinct positive integers whose arithmetic mean is an integer, the largest integer of the set being n.

The number os subsets for n=19 can be confirmed as follows:

INPUT

count=0

n=19

S=Set([n for n in [1..20]])

P=Subsets(S)

for p in P:

  if n in p and sum(p)%n==0:

    count+=1

print(count)

OUTPUT

27595

27595 is a cyclic and lucky number.

27595 can be rendered as a digit equation as follows:

2 + 7 + 5 = 9 + 5