27172906506 has 24 divisors (see below), whose sum is σ = 61973296320. Its totient is φ = 8580917736.

The previous prime is 27172906499. The next prime is 27172906507. The reversal of 27172906506 is 60560927172.

27172906506 is a `hidden beast` number, since 2 + 71 + 72 + 9 + 0 + 6 + 506 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27172906507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39726130 + ... + 39726813.

It is an arithmetic number, because the mean of its divisors is an integer number (2582220680).

Almost surely, 2^27172906506 is an apocalyptic number.

27172906506 is an abundant number, since it is smaller than the sum of its proper divisors (34800389814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27172906506 is a wasteful number, since it uses less digits than its factorization.

27172906506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79452970 (or 79452967 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 27172906506 in words is "twenty-seven billion, one hundred seventy-two million, nine hundred six thousand, five hundred six".