27116933760 has 1344 divisors, whose sum is σ = 122331358080. Its totient is φ = 5616635904.

The previous prime is 27116933759. The next prime is 27116933797. The reversal of 27116933760 is 6733961172.

27116933760 is a `hidden beast` number, since 271 + 1 + 6 + 9 + 3 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1178997109 + ... + 1178997131.

Almost surely, 2^27116933760 is an apocalyptic number.

27116933760 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 27116933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61165679040).

27116933760 is an abundant number, since it is smaller than the sum of its proper divisors (95214424320).

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

27116933760 is an equidigital number, since it uses as much as digits as its factorization.

27116933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 27116933760 in words is "twenty-seven billion, one hundred sixteen million, nine hundred thirty-three thousand, seven hundred sixty".