289439100000 has 432 divisors, whose sum is σ = 1035635996304. Its totient is φ = 76671360000.

The previous prime is 289439099969. The next prime is 289439100011. The reversal of 289439100000 is 1934982.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 146699014 + ... + 146700986.

It is an arithmetic number, because the mean of its divisors is an integer number (2397305547).

Almost surely, 2^289439100000 is an apocalyptic number.

289439100000 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 289439100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517817998152).

289439100000 is an abundant number, since it is smaller than the sum of its proper divisors (746196896304).

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

289439100000 is a wasteful number, since it uses less digits than its factorization.

289439100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 289439100000 in words is "two hundred eighty-nine billion, four hundred thirty-nine million, one hundred thousand".