972000000000279 has 18 divisors (see below), whose sum is σ = 1405708035491760. Its totient is φ = 647212632636168.

The previous prime is 972000000000277. The next prime is 972000000000329.

972000000000279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972000000000279 - 2¹ = 972000000000277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972000000000277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73628959 + ... + 85820880.

Almost surely, 2^{972000000000279} is an apocalyptic number.

972000000000279 is a deficient number, since it is larger than the sum of its proper divisors (433708035491481).

972000000000279 is an equidigital number, since it uses as much as digits as its factorization.

972000000000279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159451491 (or 159450665 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

It can be divided in two parts, 972000000000 and 279, that added together give a palindrome (972000000279).

The spelling of 972000000000279 in words is "nine hundred seventy-two trillion, two hundred seventy-nine", and thus it is an aban number.