27791866872 has 192 divisors, whose sum is σ = 93971404800. Its totient is φ = 7208766720.

The previous prime is 27791866871. The next prime is 27791866909. The reversal of 27791866872 is 27866819772.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27791866871) 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 47 ways as a sum of consecutive naturals, for example, 4592953 + ... + 4598999.

It is an arithmetic number, because the mean of its divisors is an integer number (489434400).

Almost surely, 2^27791866872 is an apocalyptic number.

27791866872 is a gapful number since it is divisible by the number (22) 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 27791866872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46985702400).

27791866872 is an abundant number, since it is smaller than the sum of its proper divisors (66179537928).

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

27791866872 is a wasteful number, since it uses less digits than its factorization.

27791866872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6899 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 27791866872 in words is "twenty-seven billion, seven hundred ninety-one million, eight hundred sixty-six thousand, eight hundred seventy-two".