27699348960 has 288 divisors, whose sum is σ = 99752627520. Its totient is φ = 6985211904.

The previous prime is 27699348959. The next prime is 27699349021. The reversal of 27699348960 is 6984399672.

27699348960 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 93 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2942982 + ... + 2952378.

It is an arithmetic number, because the mean of its divisors is an integer number (346363290).

Almost surely, 2^27699348960 is an apocalyptic number.

27699348960 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 27699348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49876313760).

27699348960 is an abundant number, since it is smaller than the sum of its proper divisors (72053278560).

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

27699348960 is a wasteful number, since it uses less digits than its factorization.

27699348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530 (or 9519 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 27699348960 in words is "twenty-seven billion, six hundred ninety-nine million, three hundred forty-eight thousand, nine hundred sixty".