289191006720 has 2160 divisors, whose sum is σ = 1342918657080. Its totient is φ = 57224724480.

The previous prime is 289191006677. The next prime is 289191006773. The reversal of 289191006720 is 27600191982.

It can be written as a sum of positive squares in 4 ways, for example, as 241639098624 + 47551908096 = 491568^2 + 218064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3961520604 + ... + 3961520676.

Almost surely, 2^289191006720 is an apocalyptic number.

289191006720 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 289191006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671459328540).

289191006720 is an abundant number, since it is smaller than the sum of its proper divisors (1053727650360).

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

289191006720 is a wasteful number, since it uses less digits than its factorization.

289191006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 289191006720 in words is "two hundred eighty-nine billion, one hundred ninety-one million, six thousand, seven hundred twenty".