27805563848672 has 48 divisors (see below), whose sum is σ = 55654193466144. Its totient is φ = 13671284928000.

The previous prime is 27805563848597. The next prime is 27805563848677. The reversal of 27805563848672 is 27684836550872.

It is a junction number, because it is equal to n+sod(n) for n = 27805563848596 and 27805563848605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27805563848677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5594597 + ... + 9322587.

It is an arithmetic number, because the mean of its divisors is an integer number (1159462363878).

Almost surely, 2^{27805563848672} 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 27805563848672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827096733072).

27805563848672 is an abundant number, since it is smaller than the sum of its proper divisors (27848629617472).

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

27805563848672 is a wasteful number, since it uses less digits than its factorization.

27805563848672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731883 (or 3731875 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 71.

The spelling of 27805563848672 in words is "twenty-seven trillion, eight hundred five billion, five hundred sixty-three million, eight hundred forty-eight thousand, six hundred seventy-two".