27506213216775 has 72 divisors (see below), whose sum is σ = 49480454677680. Its totient is φ = 14606407872000.

The previous prime is 27506213216773. The next prime is 27506213216803. The reversal of 27506213216775 is 57761231260572.

27506213216775 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 621 + 3 + 2 + 1 + 6 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 27506213216775 - 2¹ = 27506213216773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27506213216773) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81454981 + ... + 81791969.

It is an arithmetic number, because the mean of its divisors is an integer number (687228537190).

Almost surely, 2^{27506213216775} is an apocalyptic number.

27506213216775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27506213216775 is a deficient number, since it is larger than the sum of its proper divisors (21974241460905).

27506213216775 is a wasteful number, since it uses less digits than its factorization.

27506213216775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338577 (or 338569 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 27506213216775 in words is "twenty-seven trillion, five hundred six billion, two hundred thirteen million, two hundred sixteen thousand, seven hundred seventy-five".