289338725778536 has 144 divisors (see below), whose sum is σ = 674477239003200. Its totient is φ = 115988832767808.

The previous prime is 289338725778533. The next prime is 289338725778623. The reversal of 289338725778536 is 635877527833982.

It is not an unprimeable number, because it can be changed into a prime (289338725778533) 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 35 ways as a sum of consecutive naturals, for example, 1761206 + ... + 24120101.

It is an arithmetic number, because the mean of its divisors is an integer number (4683869715300).

Almost surely, 2^{289338725778536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289338725778536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337238619501600).

289338725778536 is an abundant number, since it is smaller than the sum of its proper divisors (385138513224664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289338725778536 is a wasteful number, since it uses less digits than its factorization.

289338725778536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25881444 (or 25881414 counting only the distinct ones).

The product of its digits is 25604812800, while the sum is 83.

The spelling of 289338725778536 in words is "two hundred eighty-nine trillion, three hundred thirty-eight billion, seven hundred twenty-five million, seven hundred seventy-eight thousand, five hundred thirty-six".