27105238500141 has 16 divisors (see below), whose sum is σ = 36170987936768. Its totient is φ = 18054830545200.

The previous prime is 27105238500083. The next prime is 27105238500149. The reversal of 27105238500141 is 14100583250172.

It is not a de Polignac number, because 27105238500141 - 2¹⁸ = 27105238237997 is a prime.

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 27105238500141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27105238500149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15882396 + ... + 17506026.

It is an arithmetic number, because the mean of its divisors is an integer number (2260686746048).

Almost surely, 2^{27105238500141} is an apocalyptic number.

It is an amenable number.

27105238500141 is a deficient number, since it is larger than the sum of its proper divisors (9065749436627).

27105238500141 is a wasteful number, since it uses less digits than its factorization.

27105238500141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628352.

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 27105238500141 in words is "twenty-seven trillion, one hundred five billion, two hundred thirty-eight million, five hundred thousand, one hundred forty-one".