289584997920 has 288 divisors, whose sum is σ = 1040959745280. Its totient is φ = 73106288640.

The previous prime is 289584997903. The next prime is 289584997937. The reversal of 289584997920 is 29799485982.

289584997920 is a `hidden beast` number, since 2 + 89 + 58 + 499 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (289584997903) and next prime (289584997937).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×289584997920³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51187732 + ... + 51193388.

It is an arithmetic number, because the mean of its divisors is an integer number (3614443560).

Almost surely, 2^289584997920 is an apocalyptic number.

289584997920 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 289584997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520479872640).

289584997920 is an abundant number, since it is smaller than the sum of its proper divisors (751374747360).

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

289584997920 is a wasteful number, since it uses less digits than its factorization.

289584997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 289584997920 in words is "two hundred eighty-nine billion, five hundred eighty-four million, nine hundred ninety-seven thousand, nine hundred twenty".