289223531520 has 1408 divisors, whose sum is σ = 1215217631232. Its totient is φ = 57451806720.

The previous prime is 289223531459. The next prime is 289223531539. The reversal of 289223531520 is 25135322982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6153692137 + ... + 6153692183.

It is an arithmetic number, because the mean of its divisors is an integer number (863080704).

Almost surely, 2^289223531520 is an apocalyptic number.

289223531520 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 289223531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607608815616).

289223531520 is an abundant number, since it is smaller than the sum of its proper divisors (925994099712).

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

289223531520 is a wasteful number, since it uses less digits than its factorization.

289223531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 289223531520 in words is "two hundred eighty-nine billion, two hundred twenty-three million, five hundred thirty-one thousand, five hundred twenty".