289937990160 has 600 divisors, whose sum is σ = 1261531428696. Its totient is φ = 61172858880.

The previous prime is 289937990159. The next prime is 289937990197. The reversal of 289937990160 is 61099739982.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67633284096 + 222304706064 = 260064^2 + 471492^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4092640 + ... + 4162880.

Almost surely, 2^289937990160 is an apocalyptic number.

289937990160 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 289937990160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630765714348).

289937990160 is an abundant number, since it is smaller than the sum of its proper divisors (971593438536).

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

289937990160 is a wasteful number, since it uses less digits than its factorization.

289937990160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70293 (or 70271 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 289937990160 in words is "two hundred eighty-nine billion, nine hundred thirty-seven million, nine hundred ninety thousand, one hundred sixty".