289840749120 has 896 divisors, whose sum is σ = 1144155801600. Its totient is φ = 68605968384.

The previous prime is 289840749119. The next prime is 289840749131. The reversal of 289840749120 is 21947048982.

289840749120 is a `hidden beast` number, since 2 + 8 + 98 + 40 + 7 + 491 + 20 = 666.

289840749120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 403116121 + ... + 403116839.

It is an arithmetic number, because the mean of its divisors is an integer number (1276959600).

Almost surely, 2^289840749120 is an apocalyptic number.

289840749120 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 289840749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572077900800).

289840749120 is an abundant number, since it is smaller than the sum of its proper divisors (854315052480).

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

289840749120 is a wasteful number, since it uses less digits than its factorization.

289840749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 289840749120 in words is "two hundred eighty-nine billion, eight hundred forty million, seven hundred forty-nine thousand, one hundred twenty".