27118780166016 has 3840 divisors, whose sum is σ = 113054299776000. Its totient is φ = 6358354329600.

The previous prime is 27118780165999. The next prime is 27118780166039. The reversal of 27118780166016 is 61066108781172.

27118780166016 is a `hidden beast` number, since 2 + 7 + 1 + 18 + 7 + 8 + 0 + 16 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 343275698265 + ... + 343275698343.

It is an arithmetic number, because the mean of its divisors is an integer number (29441223900).

Almost surely, 2^{27118780166016} 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 27118780166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56527149888000).

27118780166016 is an abundant number, since it is smaller than the sum of its proper divisors (85935519609984).

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

27118780166016 is a wasteful number, since it uses less digits than its factorization.

27118780166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 27118780166016 in words is "twenty-seven trillion, one hundred eighteen billion, seven hundred eighty million, one hundred sixty-six thousand, sixteen".