975945868549579 has 16 divisors (see below), whose sum is σ = 1038073038716160. Its totient is φ = 915632687701600.

The previous prime is 975945868549571. The next prime is 975945868549627.

975945868549579 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 975945868549579 - 2³ = 975945868549571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (975945868549571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962943309 + ... + 1963440430.

It is an arithmetic number, because the mean of its divisors is an integer number (64879564919760).

Almost surely, 2^{975945868549579} is an apocalyptic number.

975945868549579 is a deficient number, since it is larger than the sum of its proper divisors (62127170166581).

975945868549579 is a wasteful number, since it uses less digits than its factorization.

975945868549579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926383970.

The product of its digits is 1234517760000, while the sum is 100.

The spelling of 975945868549579 in words is "nine hundred seventy-five trillion, nine hundred forty-five billion, eight hundred sixty-eight million, five hundred forty-nine thousand, five hundred seventy-nine".