27371121040 has 80 divisors (see below), whose sum is σ = 66174447600. Its totient is φ = 10515972096.

The previous prime is 27371120993. The next prime is 27371121049. The reversal of 27371121040 is 4012117372.

It can be written as a sum of positive squares in 8 ways, for example, as 5471856784 + 21899264256 = 73972^2 + 147984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (27371121049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417196 + ... + 478324.

It is an arithmetic number, because the mean of its divisors is an integer number (827180595).

Almost surely, 2^27371121040 is an apocalyptic number.

27371121040 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 27371121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33087223800).

27371121040 is an abundant number, since it is smaller than the sum of its proper divisors (38803326560).

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

27371121040 is a wasteful number, since it uses less digits than its factorization.

27371121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61364 (or 61358 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 27371121040 in words is "twenty-seven billion, three hundred seventy-one million, one hundred twenty-one thousand, forty".