972851158279 has 128 divisors (see below), whose sum is σ = 1408942080000. Its totient is φ = 660124080000.

The previous prime is 972851158273. The next prime is 972851158283.

972851158279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972851158279 - 2⁹ = 972851157767 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 972851158279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972851158273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233912602 + ... + 233916760.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360000).

Almost surely, 2^972851158279 is an apocalyptic number.

972851158279 is a deficient number, since it is larger than the sum of its proper divisors (436090921721).

972851158279 is a wasteful number, since it uses less digits than its factorization.

972851158279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4460 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 64.

The spelling of 972851158279 in words is "nine hundred seventy-two billion, eight hundred fifty-one million, one hundred fifty-eight thousand, two hundred seventy-nine".