289408848960 has 1344 divisors, whose sum is σ = 1214523051264. Its totient is φ = 57699532800.

The previous prime is 289408848923. The next prime is 289408848991. The reversal of 289408848960 is 69848804982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 289408848891 and 289408848900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1672883434 + ... + 1672883606.

Almost surely, 2^289408848960 is an apocalyptic number.

289408848960 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 289408848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607261525632).

289408848960 is an abundant number, since it is smaller than the sum of its proper divisors (925114202304).

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

289408848960 is a wasteful number, since it uses less digits than its factorization.

289408848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 66.

The spelling of 289408848960 in words is "two hundred eighty-nine billion, four hundred eight million, eight hundred forty-eight thousand, nine hundred sixty".