27152038768 has 80 divisors (see below), whose sum is σ = 57144155040. Its totient is φ = 12455424000.

The previous prime is 27152038741. The next prime is 27152038783. The reversal of 27152038768 is 86783025172.

It is a congruent number.

It is an unprimeable number.

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, 1699618 + ... + 1715518.

It is an arithmetic number, because the mean of its divisors is an integer number (714301938).

Almost surely, 2^27152038768 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 27152038768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28572077520).

27152038768 is an abundant number, since it is smaller than the sum of its proper divisors (29992116272).

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

27152038768 is a wasteful number, since it uses less digits than its factorization.

27152038768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16106 (or 16100 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 27152038768 in words is "twenty-seven billion, one hundred fifty-two million, thirty-eight thousand, seven hundred sixty-eight".