289091019000 has 256 divisors, whose sum is σ = 1032664089600. Its totient is φ = 65959488000.

The previous prime is 289091018987. The next prime is 289091019047. The reversal of 289091019000 is 910190982.

It is a happy number.

It is a super-2 number, since 2×289091019000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 289091019000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11978946 + ... + 12003054.

It is an arithmetic number, because the mean of its divisors is an integer number (4033844100).

Almost surely, 2^289091019000 is an apocalyptic number.

289091019000 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 289091019000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516332044800).

289091019000 is an abundant number, since it is smaller than the sum of its proper divisors (743573070600).

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

289091019000 is a wasteful number, since it uses less digits than its factorization.

289091019000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24711 (or 24697 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 289091019000 in words is "two hundred eighty-nine billion, ninety-one million, nineteen thousand".