27740252221660 has 96 divisors (see below), whose sum is σ = 65709570576384. Its totient is φ = 9745721280000.

The previous prime is 27740252221651. The next prime is 27740252221739. The reversal of 27740252221660 is 6612225204772.

It is a self number, because there is not a number n which added to its sum of digits gives 27740252221660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714889 + ... + 7482751.

It is an arithmetic number, because the mean of its divisors is an integer number (684474693504).

Almost surely, 2^{27740252221660} is an apocalyptic number.

27740252221660 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 27740252221660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32854785288192).

27740252221660 is an abundant number, since it is smaller than the sum of its proper divisors (37969318354724).

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

27740252221660 is a wasteful number, since it uses less digits than its factorization.

27740252221660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768515 (or 6768513 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 27740252221660 in words is "twenty-seven trillion, seven hundred forty billion, two hundred fifty-two million, two hundred twenty-one thousand, six hundred sixty".