27116062740 has 192 divisors, whose sum is σ = 90986649600. Its totient is φ = 6664716288.

The previous prime is 27116062739. The next prime is 27116062747. The reversal of 27116062740 is 4726061172.

27116062740 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 606 + 2 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27116062695 and 27116062704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27116062747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5395869 + ... + 5400891.

It is an arithmetic number, because the mean of its divisors is an integer number (473888800).

Almost surely, 2^27116062740 is an apocalyptic number.

27116062740 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 27116062740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45493324800).

27116062740 is an abundant number, since it is smaller than the sum of its proper divisors (63870586860).

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

27116062740 is a wasteful number, since it uses less digits than its factorization.

27116062740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 27116062740 in words is "twenty-seven billion, one hundred sixteen million, sixty-two thousand, seven hundred forty".