27856167060960 has 288 divisors, whose sum is σ = 114356897141760. Its totient is φ = 6032012073984.

The previous prime is 27856167060889. The next prime is 27856167061069. The reversal of 27856167060960 is 6906076165872.

27856167060960 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 6 + 16 + 7 + 0 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27856167060960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72532392 + ... + 72915431.

It is an arithmetic number, because the mean of its divisors is an integer number (397072559520).

Almost surely, 2^{27856167060960} is an apocalyptic number.

27856167060960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27856167060960 is an abundant number, since it is smaller than the sum of its proper divisors (86500730080800).

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

27856167060960 is a wasteful number, since it uses less digits than its factorization.

27856167060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145447870 (or 145447859 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 27856167060960 in words is "twenty-seven trillion, eight hundred fifty-six billion, one hundred sixty-seven million, sixty thousand, nine hundred sixty".