27257067672067 has 16 divisors (see below), whose sum is σ = 28114191413280. Its totient is φ = 26409486342400.

The previous prime is 27257067671993. The next prime is 27257067672089. The reversal of 27257067672067 is 76027676075272.

It is a cyclic number.

It is not a de Polignac number, because 27257067672067 - 2²⁷ = 27256933454339 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27257067472067) 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 15 ways as a sum of consecutive naturals, for example, 3270717 + ... + 8075377.

It is an arithmetic number, because the mean of its divisors is an integer number (1757136963330).

Almost surely, 2^{27257067672067} is an apocalyptic number.

27257067672067 is a deficient number, since it is larger than the sum of its proper divisors (857123741213).

27257067672067 is a wasteful number, since it uses less digits than its factorization.

27257067672067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805654.

The product of its (nonzero) digits is 145212480, while the sum is 64.

The spelling of 27257067672067 in words is "twenty-seven trillion, two hundred fifty-seven billion, sixty-seven million, six hundred seventy-two thousand, sixty-seven".