27117884528 has 80 divisors (see below), whose sum is σ = 60424704000. Its totient is φ = 11549024256.

The previous prime is 27117884461. The next prime is 27117884533. The reversal of 27117884528 is 82548871172.

It is a super-2 number, since 2×27117884528² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27117884528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19245488 + ... + 19246896.

It is an arithmetic number, because the mean of its divisors is an integer number (755308800).

Almost surely, 2^27117884528 is an apocalyptic number.

27117884528 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 27117884528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30212352000).

27117884528 is an abundant number, since it is smaller than the sum of its proper divisors (33306819472).

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

27117884528 is a wasteful number, since it uses less digits than its factorization.

27117884528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2376 counting only the distinct ones).

The product of its digits is 2007040, while the sum is 53.

The spelling of 27117884528 in words is "twenty-seven billion, one hundred seventeen million, eight hundred eighty-four thousand, five hundred twenty-eight".