289078640640 has 864 divisors, whose sum is σ = 1124530555680. Its totient is φ = 70212648960.

The previous prime is 289078640611. The next prime is 289078640647. The reversal of 289078640640 is 46046870982.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289078640647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9325117425 + ... + 9325117455.

It is an arithmetic number, because the mean of its divisors is an integer number (1301539995).

Almost surely, 2^289078640640 is an apocalyptic number.

289078640640 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 289078640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562265277840).

289078640640 is an abundant number, since it is smaller than the sum of its proper divisors (835451915040).

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

289078640640 is an frugal number, since it uses more digits than its factorization.

289078640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 289078640640 in words is "two hundred eighty-nine billion, seventy-eight million, six hundred forty thousand, six hundred forty".