27091641805000 has 120 divisors (see below), whose sum is σ = 65740021248330. Its totient is φ = 10462977280000.

The previous prime is 27091641804979. The next prime is 27091641805031. The reversal of 27091641805000 is 50814619072.

It can be written as a sum of positive squares in 15 ways, for example, as 4774653269604 + 22316988535396 = 2185098^2 + 4724086^2 .

It is a super-3 number, since 3×27091641805000³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 983640 + ... + 7426360.

Almost surely, 2^{27091641805000} is an apocalyptic number.

27091641805000 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 27091641805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32870010624165).

27091641805000 is an abundant number, since it is smaller than the sum of its proper divisors (38648379443330).

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

27091641805000 is an equidigital number, since it uses as much as digits as its factorization.

27091641805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442805 (or 6442757 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 27091641805000 in words is "twenty-seven trillion, ninety-one billion, six hundred forty-one million, eight hundred five thousand".