27706217156141 has 8 divisors (see below), whose sum is σ = 29737857577464. Its totient is φ = 25719228172800.

The previous prime is 27706217156113. The next prime is 27706217156249. The reversal of 27706217156141 is 14165171260772.

It can be written as a sum of positive squares in 4 ways, for example, as 15559277475625 + 12146939680516 = 3944525^2 + 3485246^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27706217156141 - 2³⁰ = 27705143414317 is a prime.

It is a super-3 number, since 3×27706217156141³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27706217156141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27706217153141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11162858210 + ... + 11162860691.

It is an arithmetic number, because the mean of its divisors is an integer number (3717232197183).

Almost surely, 2^{27706217156141} is an apocalyptic number.

It is an amenable number.

27706217156141 is a deficient number, since it is larger than the sum of its proper divisors (2031640421323).

27706217156141 is a wasteful number, since it uses less digits than its factorization.

27706217156141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22325718991.

The product of its (nonzero) digits is 987840, while the sum is 50.

The spelling of 27706217156141 in words is "twenty-seven trillion, seven hundred six billion, two hundred seventeen million, one hundred fifty-six thousand, one hundred forty-one".