27696256089432 has 256 divisors, whose sum is σ = 82734007910400. Its totient is φ = 7561192665600.

The previous prime is 27696256089431. The next prime is 27696256089457. The reversal of 27696256089432 is 23498065269672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27696256089431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770371057 + ... + 770407007.

It is an arithmetic number, because the mean of its divisors is an integer number (323179718400).

Almost surely, 2^{27696256089432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27696256089432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41367003955200).

27696256089432 is an abundant number, since it is smaller than the sum of its proper divisors (55037751820968).

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

27696256089432 is a wasteful number, since it uses less digits than its factorization.

27696256089432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38326 (or 38322 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 27696256089432 in words is "twenty-seven trillion, six hundred ninety-six billion, two hundred fifty-six million, eighty-nine thousand, four hundred thirty-two".