27332867772001 has 32 divisors (see below), whose sum is σ = 30787088428800. Its totient is φ = 24056105760000.

The previous prime is 27332867771987. The next prime is 27332867772011. The reversal of 27332867772001 is 10027776823372.

It is a cyclic number.

It is not a de Polignac number, because 27332867772001 - 2²³ = 27332859383393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27332867772011) 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, 9806535 + ... + 12281443.

It is an arithmetic number, because the mean of its divisors is an integer number (962096513400).

Almost surely, 2^{27332867772001} is an apocalyptic number.

It is an amenable number.

27332867772001 is a deficient number, since it is larger than the sum of its proper divisors (3454220656799).

27332867772001 is a wasteful number, since it uses less digits than its factorization.

27332867772001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475241.

The product of its (nonzero) digits is 8297856, while the sum is 55.

The spelling of 27332867772001 in words is "twenty-seven trillion, three hundred thirty-two billion, eight hundred sixty-seven million, seven hundred seventy-two thousand, one".