27777116016 has 120 divisors (see below), whose sum is σ = 83928180336. Its totient is φ = 8525260800.

The previous prime is 27777116011. The next prime is 27777116053. The reversal of 27777116016 is 61061177772.

27777116016 is a `hidden beast` number, since 27 + 7 + 7 + 7 + 11 + 601 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27777116011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732171 + ... + 769173.

Almost surely, 2^27777116016 is an apocalyptic number.

27777116016 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 27777116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41964090168).

27777116016 is an abundant number, since it is smaller than the sum of its proper divisors (56151064320).

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

27777116016 is a wasteful number, since it uses less digits than its factorization.

27777116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37431 (or 37422 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 27777116016 in words is "twenty-seven billion, seven hundred seventy-seven million, one hundred sixteen thousand, sixteen".