27106796016 has 160 divisors (see below), whose sum is σ = 80599008000. Its totient is φ = 8712168192.

The previous prime is 27106796011. The next prime is 27106796071. The reversal of 27106796016 is 61069760172.

It is a happy number.

27106796016 is a `hidden beast` number, since 27 + 10 + 6 + 7 + 9 + 601 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27106796011) 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, 18277611 + ... + 18279093.

It is an arithmetic number, because the mean of its divisors is an integer number (503743800).

Almost surely, 2^27106796016 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 27106796016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40299504000).

27106796016 is an abundant number, since it is smaller than the sum of its proper divisors (53492211984).

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

27106796016 is a wasteful number, since it uses less digits than its factorization.

27106796016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 27106796016 in words is "twenty-seven billion, one hundred six million, seven hundred ninety-six thousand, sixteen".