27855055872 has 528 divisors, whose sum is σ = 99410508000. Its totient is φ = 7673315328.

The previous prime is 27855055831. The next prime is 27855055873.

27855055872 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 50 + 5 + 587 + 2 = 666.

27855055872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27855055873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39287454 + ... + 39288162.

Almost surely, 2^27855055872 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 27855055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49705254000).

27855055872 is an abundant number, since it is smaller than the sum of its proper divisors (71555452128).

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

27855055872 is a wasteful number, since it uses less digits than its factorization.

27855055872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 54.

The spelling of 27855055872 in words is "twenty-seven billion, eight hundred fifty-five million, fifty-five thousand, eight hundred seventy-two".