27679990291201 has 16 divisors (see below), whose sum is σ = 27964300032000. Its totient is φ = 27397370523600.

The previous prime is 27679990291199. The next prime is 27679990291231. The reversal of 27679990291201 is 10219209997672.

It is a cyclic number.

It is not a de Polignac number, because 27679990291201 - 2¹ = 27679990291199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27679990291231) 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, 45882046 + ... + 46481416.

It is an arithmetic number, because the mean of its divisors is an integer number (1747768752000).

Almost surely, 2^{27679990291201} is an apocalyptic number.

It is an amenable number.

27679990291201 is a deficient number, since it is larger than the sum of its proper divisors (284309740799).

27679990291201 is a wasteful number, since it uses less digits than its factorization.

27679990291201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600780.

The product of its (nonzero) digits is 15431472, while the sum is 64.

The spelling of 27679990291201 in words is "twenty-seven trillion, six hundred seventy-nine billion, nine hundred ninety million, two hundred ninety-one thousand, two hundred one".