27659888640 has 192 divisors, whose sum is σ = 98323243200. Its totient is φ = 7375896576.

The previous prime is 27659888611. The next prime is 27659888657. The reversal of 27659888640 is 4688895672.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226459 + ... + 326501.

It is an arithmetic number, because the mean of its divisors is an integer number (512100225).

Almost surely, 2^27659888640 is an apocalyptic number.

27659888640 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 27659888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49161621600).

27659888640 is an abundant number, since it is smaller than the sum of its proper divisors (70663354560).

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

27659888640 is a wasteful number, since it uses less digits than its factorization.

27659888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100079 (or 100053 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 27659888640 in words is "twenty-seven billion, six hundred fifty-nine million, eight hundred eighty-eight thousand, six hundred forty".