27038694816 has 72 divisors (see below), whose sum is σ = 87875764704. Its totient is φ = 7725340800.

The previous prime is 27038694799. The next prime is 27038694847. The reversal of 27038694816 is 61849683072.

27038694816 is a `hidden beast` number, since 2 + 70 + 38 + 69 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 6704010 + ... + 6708041.

It is an arithmetic number, because the mean of its divisors is an integer number (1220496732).

Almost surely, 2^27038694816 is an apocalyptic number.

It is an amenable number.

27038694816 is an abundant number, since it is smaller than the sum of its proper divisors (60837069888).

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

27038694816 is a wasteful number, since it uses less digits than its factorization.

27038694816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13412074 (or 13412063 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27038694816 in words is "twenty-seven billion, thirty-eight million, six hundred ninety-four thousand, eight hundred sixteen".