27538237440 has 1344 divisors, whose sum is σ = 123747886080. Its totient is φ = 5733089280.

The previous prime is 27538237427. The next prime is 27538237459. The reversal of 27538237440 is 4473283572.

27538237440 is a `hidden beast` number, since 2 + 7 + 538 + 2 + 3 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 888330225 + ... + 888330255.

It is an arithmetic number, because the mean of its divisors is an integer number (92074320).

Almost surely, 2^27538237440 is an apocalyptic number.

27538237440 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 27538237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873943040).

27538237440 is an abundant number, since it is smaller than the sum of its proper divisors (96209648640).

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

27538237440 is an equidigital number, since it uses as much as digits as its factorization.

27538237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 27538237440 in words is "twenty-seven billion, five hundred thirty-eight million, two hundred thirty-seven thousand, four hundred forty".