27083496906 has 64 divisors (see below), whose sum is σ = 61026480000. Its totient is φ = 8902244736.

The previous prime is 27083496901. The next prime is 27083496919. The reversal of 27083496906 is 60969438072.

It is a happy number.

27083496906 is a `hidden beast` number, since 2 + 70 + 83 + 496 + 9 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27083496901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1814040 + ... + 1828908.

It is an arithmetic number, because the mean of its divisors is an integer number (953538750).

Almost surely, 2^27083496906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27083496906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30513240000).

27083496906 is an abundant number, since it is smaller than the sum of its proper divisors (33942983094).

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

27083496906 is a wasteful number, since it uses less digits than its factorization.

27083496906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15348 (or 15342 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 27083496906 in words is "twenty-seven billion, eighty-three million, four hundred ninety-six thousand, nine hundred six".