27805140000 has 960 divisors, whose sum is σ = 114875228160. Its totient is φ = 6480000000.

The previous prime is 27805139977. The next prime is 27805140043. The reversal of 27805140000 is 4150872.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 184139925 + ... + 184140075.

It is an arithmetic number, because the mean of its divisors is an integer number (119661696).

Almost surely, 2^27805140000 is an apocalyptic number.

27805140000 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 27805140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57437614080).

27805140000 is an abundant number, since it is smaller than the sum of its proper divisors (87070088160).

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

27805140000 is a wasteful number, since it uses less digits than its factorization.

27805140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 27805140000 its reverse (4150872), we get a palindrome (27809290872).

The spelling of 27805140000 in words is "twenty-seven billion, eight hundred five million, one hundred forty thousand".