27342627242001 has 32 divisors (see below), whose sum is σ = 38493276192000. Its totient is φ = 17229248560128.

The previous prime is 27342627241967. The next prime is 27342627242059. The reversal of 27342627242001 is 10024272624372.

It is not a de Polignac number, because 27342627242001 - 2¹⁰ = 27342627240977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27342627242071) 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 31 ways as a sum of consecutive naturals, for example, 8497255 + ... + 11264483.

It is an arithmetic number, because the mean of its divisors is an integer number (1202914881000).

Almost surely, 2^{27342627242001} is an apocalyptic number.

It is an amenable number.

27342627242001 is a deficient number, since it is larger than the sum of its proper divisors (11150648949999).

27342627242001 is a wasteful number, since it uses less digits than its factorization.

27342627242001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768953.

The product of its (nonzero) digits is 451584, while the sum is 42.

Adding to 27342627242001 its reverse (10024272624372), we get a palindrome (37366899866373).

The spelling of 27342627242001 in words is "twenty-seven trillion, three hundred forty-two billion, six hundred twenty-seven million, two hundred forty-two thousand, one".