27006146443101 has 32 divisors (see below), whose sum is σ = 41379760795648. Its totient is φ = 15346970130240.

The previous prime is 27006146443057. The next prime is 27006146443127. The reversal of 27006146443101 is 10134464160072.

It is not a de Polignac number, because 27006146443101 - 2⁷ = 27006146442973 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 27006146443101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27006146443181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396165 + ... + 7480746.

It is an arithmetic number, because the mean of its divisors is an integer number (1293117524864).

Almost surely, 2^{27006146443101} is an apocalyptic number.

27006146443101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27006146443101 is a deficient number, since it is larger than the sum of its proper divisors (14373614352547).

27006146443101 is a wasteful number, since it uses less digits than its factorization.

27006146443101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877721.

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 27006146443101 in words is "twenty-seven trillion, six billion, one hundred forty-six million, four hundred forty-three thousand, one hundred one".