27689200000 has 768 divisors, whose sum is σ = 91794124800. Its totient is φ = 8064000000.

The previous prime is 27689199997. The next prime is 27689200057. The reversal of 27689200000 is 298672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 893199985 + ... + 893200015.

It is an arithmetic number, because the mean of its divisors is an integer number (119523600).

Almost surely, 2^27689200000 is an apocalyptic number.

27689200000 is a gapful number since it is divisible by the number (20) 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 27689200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45897062400).

27689200000 is an abundant number, since it is smaller than the sum of its proper divisors (64104924800).

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

27689200000 is an equidigital number, since it uses as much as digits as its factorization.

27689200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 27689200000 its reverse (298672), we get a palindrome (27689498672).

The spelling of 27689200000 in words is "twenty-seven billion, six hundred eighty-nine million, two hundred thousand".