957968869759 has 16 divisors (see below), whose sum is σ = 1046082078720. Its totient is φ = 870026976000.

The previous prime is 957968869751. The next prime is 957968869769.

957968869759 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 957968869759 - 2³ = 957968869751 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 957968869759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957968869751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51243604 + ... + 51262294.

It is an arithmetic number, because the mean of its divisors is an integer number (65380129920).

Almost surely, 2^957968869759 is an apocalyptic number.

957968869759 is a deficient number, since it is larger than the sum of its proper divisors (88113208961).

957968869759 is a wasteful number, since it uses less digits than its factorization.

957968869759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23022.

The product of its digits is 18517766400, while the sum is 88.

The spelling of 957968869759 in words is "nine hundred fifty-seven billion, nine hundred sixty-eight million, eight hundred sixty-nine thousand, seven hundred fifty-nine".