27836540352 has 168 divisors, whose sum is σ = 84506263296. Its totient is φ = 9081186048.

The previous prime is 27836540351. The next prime is 27836540353. The reversal of 27836540352 is 25304563872.

27836540352 is a `hidden beast` number, since 2 + 78 + 3 + 6 + 540 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (27836540351) and next prime (27836540353).

It is a junction number, because it is equal to n+sod(n) for n = 27836540298 and 27836540307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27836540351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711903 + ... + 749985.

It is an arithmetic number, because the mean of its divisors is an integer number (503013472).

Almost surely, 2^27836540352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27836540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42253131648).

27836540352 is an abundant number, since it is smaller than the sum of its proper divisors (56669722944).

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

27836540352 is an equidigital number, since it uses as much as digits as its factorization.

27836540352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38157 (or 38135 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 27836540352 in words is "twenty-seven billion, eight hundred thirty-six million, five hundred forty thousand, three hundred fifty-two".