27053213567382 has 128 divisors (see below), whose sum is σ = 62466165273600. Its totient is φ = 8668340610048.

The previous prime is 27053213567329. The next prime is 27053213567383. The reversal of 27053213567382 is 28376531235072.

27053213567382 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 32 + 13 + 567 + 38 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27053213567383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698903673 + ... + 698942379.

It is an arithmetic number, because the mean of its divisors is an integer number (488016916200).

Almost surely, 2^{27053213567382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27053213567382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31233082636800).

27053213567382 is an abundant number, since it is smaller than the sum of its proper divisors (35412951706218).

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

27053213567382 is a wasteful number, since it uses less digits than its factorization.

27053213567382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40707 (or 40701 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 27053213567382 in words is "twenty-seven trillion, fifty-three billion, two hundred thirteen million, five hundred sixty-seven thousand, three hundred eighty-two".