27642655171151 has 16 divisors (see below), whose sum is σ = 28324450535040. Its totient is φ = 26968904186400.

The previous prime is 27642655171121. The next prime is 27642655171213. The reversal of 27642655171151 is 15117155624672.

It is a cyclic number.

It is not a de Polignac number, because 27642655171151 - 2¹⁸ = 27642654909007 is a prime.

It is a super-2 number, since 2×27642655171151² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27642655171093 and 27642655171102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27642655171121) 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, 28565705 + ... + 29517533.

It is an arithmetic number, because the mean of its divisors is an integer number (1770278158440).

Almost surely, 2^{27642655171151} is an apocalyptic number.

27642655171151 is a deficient number, since it is larger than the sum of its proper divisors (681795363889).

27642655171151 is a wasteful number, since it uses less digits than its factorization.

27642655171151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956054.

The product of its digits is 3528000, while the sum is 53.

The spelling of 27642655171151 in words is "twenty-seven trillion, six hundred forty-two billion, six hundred fifty-five million, one hundred seventy-one thousand, one hundred fifty-one".