975824428579 has 96 divisors (see below), whose sum is σ = 1358084407680. Its totient is φ = 681854976000.

The previous prime is 975824428561. The next prime is 975824428589.

It is a happy number.

975824428579 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 975824428579 - 2⁷ = 975824428451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (975824428529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108795207 + ... + 108804175.

It is an arithmetic number, because the mean of its divisors is an integer number (14146712580).

Almost surely, 2^975824428579 is an apocalyptic number.

975824428579 is a deficient number, since it is larger than the sum of its proper divisors (382259979101).

975824428579 is a wasteful number, since it uses less digits than its factorization.

975824428579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9282 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 70.

The spelling of 975824428579 in words is "nine hundred seventy-five billion, eight hundred twenty-four million, four hundred twenty-eight thousand, five hundred seventy-nine".