27289162656 has 96 divisors (see below), whose sum is σ = 90963895680. Its totient is φ = 7796901888.

The previous prime is 27289162619. The next prime is 27289162723. The reversal of 27289162656 is 65626198272.

27289162656 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 9 + 1 + 626 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 2250001 + ... + 2262096.

It is an arithmetic number, because the mean of its divisors is an integer number (947540580).

Almost surely, 2^27289162656 is an apocalyptic number.

It is an amenable number.

27289162656 is an abundant number, since it is smaller than the sum of its proper divisors (63674733024).

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

27289162656 is a wasteful number, since it uses less digits than its factorization.

27289162656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512123 (or 4512109 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 27289162656 in words is "twenty-seven billion, two hundred eighty-nine million, one hundred sixty-two thousand, six hundred fifty-six".