27591388242 has 144 divisors (see below), whose sum is σ = 63672049728. Its totient is φ = 7963032000.

The previous prime is 27591388219. The next prime is 27591388261. The reversal of 27591388242 is 24288319572.

It is a super-2 number, since 2×27591388242² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49535428 + ... + 49535984.

It is an arithmetic number, because the mean of its divisors is an integer number (442167012).

Almost surely, 2^27591388242 is an apocalyptic number.

27591388242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27591388242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31836024864).

27591388242 is an abundant number, since it is smaller than the sum of its proper divisors (36080661486).

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

27591388242 is a wasteful number, since it uses less digits than its factorization.

27591388242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 675 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 27591388242 in words is "twenty-seven billion, five hundred ninety-one million, three hundred eighty-eight thousand, two hundred forty-two".