21166586001 has 24 divisors (see below), whose sum is σ = 33728179680. Its totient is φ = 12684091200.

The previous prime is 21166585997. The next prime is 21166586011. The reversal of 21166586001 is 10068566112.

21166586001 is a `hidden beast` number, since 2 + 11 + 66 + 586 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 21166586001 - 2² = 21166585997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21166586011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192335 + ... + 1209956.

It is an arithmetic number, because the mean of its divisors is an integer number (1405340820).

Almost surely, 2^21166586001 is an apocalyptic number.

It is an amenable number.

21166586001 is a deficient number, since it is larger than the sum of its proper divisors (12561593679).

21166586001 is a wasteful number, since it uses less digits than its factorization.

21166586001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402397 (or 2402394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21166586001 in words is "twenty-one billion, one hundred sixty-six million, five hundred eighty-six thousand, one".