27031433413072 has 80 divisors (see below), whose sum is σ = 60496810438464. Its totient is φ = 11563995392000.

The previous prime is 27031433413027. The next prime is 27031433413073.

It is a happy number.

27031433413072 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27031433413073) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 211084422 + ... + 211212442.

Almost surely, 2^{27031433413072} is an apocalyptic number.

27031433413072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27031433413072 is an abundant number, since it is smaller than the sum of its proper divisors (33465377025392).

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

27031433413072 is a wasteful number, since it uses less digits than its factorization.

27031433413072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198628 (or 198622 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 27031433413072 in words is "twenty-seven trillion, thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, seventy-two".