27956523168 has 192 divisors, whose sum is σ = 96195133440. Its totient is φ = 7729862400.

The previous prime is 27956523167. The next prime is 27956523191. The reversal of 27956523168 is 86132565972.

27956523168 is a `hidden beast` number, since 2 + 7 + 9 + 56 + 523 + 1 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (27956523167) 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 31 ways as a sum of consecutive naturals, for example, 112933 + ... + 262043.

It is an arithmetic number, because the mean of its divisors is an integer number (501016320).

Almost surely, 2^27956523168 is an apocalyptic number.

27956523168 is a gapful number since it is divisible by the number (28) 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 27956523168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48097566720).

27956523168 is an abundant number, since it is smaller than the sum of its proper divisors (68238610272).

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

27956523168 is a wasteful number, since it uses less digits than its factorization.

27956523168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149168 (or 149154 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 27956523168 in words is "twenty-seven billion, nine hundred fifty-six million, five hundred twenty-three thousand, one hundred sixty-eight".