289675626240 has 2592 divisors, whose sum is σ = 1375458029568. Its totient is φ = 50606899200.

The previous prime is 289675626239. The next prime is 289675626287. The reversal of 289675626240 is 42626576982.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 9344375025 + ... + 9344375055.

It is an arithmetic number, because the mean of its divisors is an integer number (530655104).

Almost surely, 2^289675626240 is an apocalyptic number.

289675626240 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 289675626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687729014784).

289675626240 is an abundant number, since it is smaller than the sum of its proper divisors (1085782403328).

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

289675626240 is a wasteful number, since it uses less digits than its factorization.

289675626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 289675626240 in words is "two hundred eighty-nine billion, six hundred seventy-five million, six hundred twenty-six thousand, two hundred forty".