27781075000 has 96 divisors (see below), whose sum is σ = 74409300000. Its totient is φ = 9524880000.

The previous prime is 27781074991. The next prime is 27781075019. The reversal of 27781075000 is 57018772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95626 + ... + 254374.

It is an arithmetic number, because the mean of its divisors is an integer number (775096875).

Almost surely, 2^27781075000 is an apocalyptic number.

27781075000 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 27781075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37204650000).

27781075000 is an abundant number, since it is smaller than the sum of its proper divisors (46628225000).

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

27781075000 is an equidigital number, since it uses as much as digits as its factorization.

27781075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158787 (or 158763 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 37.

The spelling of 27781075000 in words is "twenty-seven billion, seven hundred eighty-one million, seventy-five thousand".