27431972640201 has 16 divisors (see below), whose sum is σ = 36603423477824. Its totient is φ = 18274256342784.

The previous prime is 27431972640181. The next prime is 27431972640229. The reversal of 27431972640201 is 10204627913472.

It is not a de Polignac number, because 27431972640201 - 2⁹ = 27431972639689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27431972640301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23616621 + ... + 24750933.

It is an arithmetic number, because the mean of its divisors is an integer number (2287713967364).

Almost surely, 2^{27431972640201} is an apocalyptic number.

It is an amenable number.

27431972640201 is a deficient number, since it is larger than the sum of its proper divisors (9171450837623).

27431972640201 is a wasteful number, since it uses less digits than its factorization.

27431972640201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140360.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 27431972640201 in words is "twenty-seven trillion, four hundred thirty-one billion, nine hundred seventy-two million, six hundred forty thousand, two hundred one".