27091433419072 has 112 divisors (see below), whose sum is σ = 58935059200512. Its totient is φ = 12253864250880.

The previous prime is 27091433419019. The next prime is 27091433419081.

It is a happy number.

27091433419072 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27091433419072² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167852203 + ... + 168013525.

Almost surely, 2^{27091433419072} is an apocalyptic number.

27091433419072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27091433419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29467529600256).

27091433419072 is an abundant number, since it is smaller than the sum of its proper divisors (31843625781440).

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

27091433419072 is a wasteful number, since it uses less digits than its factorization.

27091433419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162516 (or 162506 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 27091433419072 in words is "twenty-seven trillion, ninety-one billion, four hundred thirty-three million, four hundred nineteen thousand, seventy-two".