289426475520 has 1920 divisors, whose sum is σ = 1312084021248. Its totient is φ = 57330892800.

The previous prime is 289426475477. The next prime is 289426475531. The reversal of 289426475520 is 25574624982.

289426475520 is a `hidden beast` number, since 2 + 8 + 9 + 42 + 6 + 4 + 75 + 520 = 666.

289426475520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 3964746204 + ... + 3964746276.

Almost surely, 2^289426475520 is an apocalyptic number.

289426475520 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 289426475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656042010624).

289426475520 is an abundant number, since it is smaller than the sum of its proper divisors (1022657545728).

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

289426475520 is a wasteful number, since it uses less digits than its factorization.

289426475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 289426475520 in words is "two hundred eighty-nine billion, four hundred twenty-six million, four hundred seventy-five thousand, five hundred twenty".