27667941120 has 504 divisors, whose sum is σ = 100534140000. Its totient is φ = 7291772928.

The previous prime is 27667941101. The next prime is 27667941121. The reversal of 27667941120 is 2114976672.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27667941121) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 139034781 + ... + 139034979.

It is an arithmetic number, because the mean of its divisors is an integer number (199472500).

Almost surely, 2^27667941120 is an apocalyptic number.

27667941120 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 27667941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50267070000).

27667941120 is an abundant number, since it is smaller than the sum of its proper divisors (72866198880).

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

27667941120 is an equidigital number, since it uses as much as digits as its factorization.

27667941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27667941120 in words is "twenty-seven billion, six hundred sixty-seven million, nine hundred forty-one thousand, one hundred twenty".