289034897012160 has 448 divisors, whose sum is σ = 1046103431385600. Its totient is φ = 67025909956608.

The previous prime is 289034897012153. The next prime is 289034897012203. The reversal of 289034897012160 is 61210798430982.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 289034897012094 and 289034897012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39039622 + ... + 45849338.

It is an arithmetic number, because the mean of its divisors is an integer number (2335052302200).

Almost surely, 2^{289034897012160} is an apocalyptic number.

289034897012160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289034897012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523051715692800).

289034897012160 is an abundant number, since it is smaller than the sum of its proper divisors (757068534373440).

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

289034897012160 is a wasteful number, since it uses less digits than its factorization.

289034897012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809948 (or 6809938 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 289034897012160 in words is "two hundred eighty-nine trillion, thirty-four billion, eight hundred ninety-seven million, twelve thousand, one hundred sixty".