27106799616 has 468 divisors, whose sum is σ = 89637389400. Its totient is φ = 7867072512.

The previous prime is 27106799593. The next prime is 27106799617. The reversal of 27106799616 is 61699760172.

27106799616 is a `hidden beast` number, since 2 + 7 + 10 + 6 + 7 + 9 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27106799617) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118370190 + ... + 118370418.

Almost surely, 2^27106799616 is an apocalyptic number.

27106799616 is a gapful number since it is divisible by the number (26) 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 27106799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44818694700).

27106799616 is an abundant number, since it is smaller than the sum of its proper divisors (62530589784).

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

27106799616 is a wasteful number, since it uses less digits than its factorization.

27106799616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 27106799616 in words is "twenty-seven billion, one hundred six million, seven hundred ninety-nine thousand, six hundred sixteen".