27665582868 has 288 divisors, whose sum is σ = 89374521600. Its totient is φ = 7153090560.

The previous prime is 27665582809. The next prime is 27665582869. The reversal of 27665582868 is 86828556672.

27665582868 is a `hidden beast` number, since 2 + 76 + 6 + 558 + 2 + 8 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27665582869) 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 95 ways as a sum of consecutive naturals, for example, 47946996 + ... + 47947572.

It is an arithmetic number, because the mean of its divisors is an integer number (310328200).

Almost surely, 2^27665582868 is an apocalyptic number.

27665582868 is a gapful number since it is divisible by the number (28) 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 27665582868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44687260800).

27665582868 is an abundant number, since it is smaller than the sum of its proper divisors (61708938732).

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

27665582868 is a wasteful number, since it uses less digits than its factorization.

27665582868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 953 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 27665582868 in words is "twenty-seven billion, six hundred sixty-five million, five hundred eighty-two thousand, eight hundred sixty-eight".