10684558521 has 24 divisors (see below), whose sum is σ = 18994772160. Its totient is φ = 5635810656.

The previous prime is 10684558513. The next prime is 10684558571. The reversal of 10684558521 is 12585548601.

10684558521 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 45 + 585 + 21 = 666.

It is not a de Polignac number, because 10684558521 - 2³ = 10684558513 is a prime.

It is a super-2 number, since 2×10684558521² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10684558571) 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, 6522111 + ... + 6523748.

It is an arithmetic number, because the mean of its divisors is an integer number (791448840).

Almost surely, 2^10684558521 is an apocalyptic number.

It is an amenable number.

10684558521 is a deficient number, since it is larger than the sum of its proper divisors (8310213639).

10684558521 is a wasteful number, since it uses less digits than its factorization.

10684558521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13045885 (or 13045882 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 10684558521 in words is "ten billion, six hundred eighty-four million, five hundred fifty-eight thousand, five hundred twenty-one".