57586768441 has 8 divisors (see below), whose sum is σ = 57725217000. Its totient is φ = 57448366080.

The previous prime is 57586768429. The next prime is 57586768451. The reversal of 57586768441 is 14486768575.

It can be written as a sum of positive squares in 4 ways, for example, as 837523600 + 56749244841 = 28940^2 + 238221^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57586768441 - 2¹³ = 57586760249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57586768441.

It is not an unprimeable number, because it can be changed into a prime (57586768451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5077465 + ... + 5088793.

It is an arithmetic number, because the mean of its divisors is an integer number (7215652125).

Almost surely, 2^57586768441 is an apocalyptic number.

It is an amenable number.

57586768441 is a deficient number, since it is larger than the sum of its proper divisors (138448559).

57586768441 is a wasteful number, since it uses less digits than its factorization.

57586768441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23099.

The product of its digits is 45158400, while the sum is 61.

The spelling of 57586768441 in words is "fifty-seven billion, five hundred eighty-six million, seven hundred sixty-eight thousand, four hundred forty-one".