27038940686016 has 56 divisors (see below), whose sum is σ = 81760606364160. Its totient is φ = 7725411624192.

The previous prime is 27038940685949. The next prime is 27038940686033. The reversal of 27038940686016 is 61068604983072.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×27038940686016² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10059128376 + ... + 10059131063.

Almost surely, 2^{27038940686016} is an apocalyptic number.

It is an amenable number.

27038940686016 is an abundant number, since it is smaller than the sum of its proper divisors (54721665678144).

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

27038940686016 is a wasteful number, since it uses less digits than its factorization.

27038940686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20118259461 (or 20118259451 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 27038940686016 in words is "twenty-seven trillion, thirty-eight billion, nine hundred forty million, six hundred eighty-six thousand, sixteen".