972855558279 has 96 divisors (see below), whose sum is σ = 1582118893056. Its totient is φ = 570876284160.

The previous prime is 972855558251. The next prime is 972855558371.

It is a happy number.

972855558279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972855558279 - 2¹² = 972855554183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972855558239) 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 95 ways as a sum of consecutive naturals, for example, 975782409 + ... + 975783405.

It is an arithmetic number, because the mean of its divisors is an integer number (16480405136).

Almost surely, 2^972855558279 is an apocalyptic number.

972855558279 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

972855558279 is a deficient number, since it is larger than the sum of its proper divisors (609263334777).

972855558279 is a wasteful number, since it uses less digits than its factorization.

972855558279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2082 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 72.

The spelling of 972855558279 in words is "nine hundred seventy-two billion, eight hundred fifty-five million, five hundred fifty-eight thousand, two hundred seventy-nine".