27254748906 has 96 divisors (see below), whose sum is σ = 73686412800. Its totient is φ = 7073079840.

The previous prime is 27254748877. The next prime is 27254748931. The reversal of 27254748906 is 60984745272.

27254748906 is a `hidden beast` number, since 2 + 7 + 2 + 547 + 4 + 8 + 90 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737165 + ... + 1752783.

It is an arithmetic number, because the mean of its divisors is an integer number (767566800).

Almost surely, 2^27254748906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27254748906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36843206400).

27254748906 is an abundant number, since it is smaller than the sum of its proper divisors (46431663894).

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

27254748906 is a wasteful number, since it uses less digits than its factorization.

27254748906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16904 (or 16901 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 27254748906 in words is "twenty-seven billion, two hundred fifty-four million, seven hundred forty-eight thousand, nine hundred six".