27191738880 has 240 divisors, whose sum is σ = 97662749184. Its totient is φ = 7250964480.

The previous prime is 27191738797. The next prime is 27191738887. The reversal of 27191738880 is 8883719172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27191738887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600225 + ... + 643935.

Almost surely, 2^27191738880 is an apocalyptic number.

27191738880 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 27191738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48831374592).

27191738880 is an abundant number, since it is smaller than the sum of its proper divisors (70471010304).

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

27191738880 is an frugal number, since it uses more digits than its factorization.

27191738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43749 (or 43721 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 27191738880 in words is "twenty-seven billion, one hundred ninety-one million, seven hundred thirty-eight thousand, eight hundred eighty".