289881438837120 has 4096 divisors, whose sum is σ = 1225949031014400. Its totient is φ = 64892837560320.

The previous prime is 289881438837119. The next prime is 289881438837157. The reversal of 289881438837120 is 21738834188982.

289881438837120 is a `hidden beast` number, since 2 + 8 + 9 + 88 + 14 + 388 + 37 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 1471479384862 + ... + 1471479385058.

It is an arithmetic number, because the mean of its divisors is an integer number (299303962650).

Almost surely, 2^{289881438837120} is an apocalyptic number.

289881438837120 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 289881438837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612974515507200).

289881438837120 is an abundant number, since it is smaller than the sum of its proper divisors (936067592177280).

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

289881438837120 is a wasteful number, since it uses less digits than its factorization.

289881438837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 289881438837120 in words is "two hundred eighty-nine trillion, eight hundred eighty-one billion, four hundred thirty-eight million, eight hundred thirty-seven thousand, one hundred twenty".