27385168160 has 192 divisors, whose sum is σ = 79937383680. Its totient is φ = 8654376960.

The previous prime is 27385168121. The next prime is 27385168169. The reversal of 27385168160 is 6186158372.

It is not an unprimeable number, because it can be changed into a prime (27385168169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769970 + ... + 804750.

It is an arithmetic number, because the mean of its divisors is an integer number (416340540).

Almost surely, 2^27385168160 is an apocalyptic number.

27385168160 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 27385168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39968691840).

27385168160 is an abundant number, since it is smaller than the sum of its proper divisors (52552215520).

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

27385168160 is a wasteful number, since it uses less digits than its factorization.

27385168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34859 (or 34851 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 27385168160 in words is "twenty-seven billion, three hundred eighty-five million, one hundred sixty-eight thousand, one hundred sixty".