972587785279 has 16 divisors (see below), whose sum is σ = 1064933868960. Its totient is φ = 880900392960.

The previous prime is 972587785243. The next prime is 972587785289.

972587785279 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 972587785279 - 2¹⁵ = 972587752511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972587785229) 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, 4994167 + ... + 5185255.

It is an arithmetic number, because the mean of its divisors is an integer number (66558366810).

Almost surely, 2^972587785279 is an apocalyptic number.

972587785279 is a deficient number, since it is larger than the sum of its proper divisors (92346083681).

972587785279 is a wasteful number, since it uses less digits than its factorization.

972587785279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192810.

The product of its digits is 1244678400, while the sum is 76.

The spelling of 972587785279 in words is "nine hundred seventy-two billion, five hundred eighty-seven million, seven hundred eighty-five thousand, two hundred seventy-nine".