27117750660 has 384 divisors, whose sum is σ = 104711491584. Its totient is φ = 5060413440.

The previous prime is 27117750659. The next prime is 27117750661. The reversal of 27117750660 is 6605771172.

It is an interprime number because it is at equal distance from previous prime (27117750659) and next prime (27117750661).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27117750661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2216119 + ... + 2228321.

It is an arithmetic number, because the mean of its divisors is an integer number (272686176).

Almost surely, 2^27117750660 is an apocalyptic number.

27117750660 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 27117750660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52355745792).

27117750660 is an abundant number, since it is smaller than the sum of its proper divisors (77593740924).

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

27117750660 is a wasteful number, since it uses less digits than its factorization.

27117750660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

It can be divided in two parts, 27117 and 750660, that added together give a palindrome (777777).

The spelling of 27117750660 in words is "twenty-seven billion, one hundred seventeen million, seven hundred fifty thousand, six hundred sixty".