27013431072 has 24 divisors (see below), whose sum is σ = 70910256816. Its totient is φ = 9004476992.

The previous prime is 27013431059. The next prime is 27013431097.

27013431072 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140694858 + ... + 140695049.

It is an arithmetic number, because the mean of its divisors is an integer number (2954594034).

Almost surely, 2^27013431072 is an apocalyptic number.

It is an amenable number.

27013431072 is an abundant number, since it is smaller than the sum of its proper divisors (43896825744).

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

27013431072 is a wasteful number, since it uses less digits than its factorization.

27013431072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281389920 (or 281389912 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 27013431072 in words is "twenty-seven billion, thirteen million, four hundred thirty-one thousand, seventy-two".