289888326160 has 40 divisors (see below), whose sum is σ = 713636853336. Its totient is φ = 109134428160.

The previous prime is 289888326149. The next prime is 289888326163. The reversal of 289888326160 is 61623888982.

It can be written as a sum of positive squares in 4 ways, for example, as 72165300496 + 217723025664 = 268636^2 + 466608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (289888326163) 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 7 ways as a sum of consecutive naturals, for example, 106575231 + ... + 106577950.

Almost surely, 2^289888326160 is an apocalyptic number.

289888326160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289888326160 is an abundant number, since it is smaller than the sum of its proper divisors (423748527176).

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

289888326160 is a wasteful number, since it uses less digits than its factorization.

289888326160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213153211 (or 213153205 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 61.

The spelling of 289888326160 in words is "two hundred eighty-nine billion, eight hundred eighty-eight million, three hundred twenty-six thousand, one hundred sixty".