21170304576801 has 12 divisors (see below), whose sum is σ = 30592391370580. Its totient is φ = 14107507521120.

The previous prime is 21170304576761. The next prime is 21170304576823. The reversal of 21170304576801 is 10867540307112.

21170304576801 is a `hidden beast` number, since 2 + 1 + 1 + 70 + 3 + 0 + 4 + 576 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17989346718225 + 3180957858576 = 4241385^2 + 1783524^2 .

It is not a de Polignac number, because 21170304576801 - 2³⁰ = 21169230834977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21170304576871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502383046 + ... + 502425183.

Almost surely, 2^{21170304576801} is an apocalyptic number.

It is an amenable number.

21170304576801 is a deficient number, since it is larger than the sum of its proper divisors (9422086793779).

21170304576801 is a wasteful number, since it uses less digits than its factorization.

21170304576801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004810576 (or 1004810573 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 21170304576801 in words is "twenty-one trillion, one hundred seventy billion, three hundred four million, five hundred seventy-six thousand, eight hundred one".