16575657561 has 32 divisors (see below), whose sum is σ = 25420938240. Its totient is φ = 10663488000.

The previous prime is 16575657559. The next prime is 16575657667.

16575657561 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 5 + 6 + 575 + 61 = 666.

16575657561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16575657561 - 2¹ = 16575657559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16575657498 and 16575657507.

It is not an unprimeable number, because it can be changed into a prime (16575657541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267411 + ... + 323511.

It is an arithmetic number, because the mean of its divisors is an integer number (794404320).

Almost surely, 2^16575657561 is an apocalyptic number.

It is an amenable number.

16575657561 is a deficient number, since it is larger than the sum of its proper divisors (8845280679).

16575657561 is a wasteful number, since it uses less digits than its factorization.

16575657561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56494 (or 56488 counting only the distinct ones).

The product of its digits is 6615000, while the sum is 54.

The spelling of 16575657561 in words is "sixteen billion, five hundred seventy-five million, six hundred fifty-seven thousand, five hundred sixty-one".