289710760666680 has 256 divisors, whose sum is σ = 969572022796800. Its totient is φ = 76946889600000.

The previous prime is 289710760666669. The next prime is 289710760666681. The reversal of 289710760666680 is 86666067017982.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 289710760666599 and 289710760666608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289710760666681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 682921435 + ... + 683345525.

It is an arithmetic number, because the mean of its divisors is an integer number (3787390714050).

Almost surely, 2^{289710760666680} is an apocalyptic number.

289710760666680 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 289710760666680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484786011398400).

289710760666680 is an abundant number, since it is smaller than the sum of its proper divisors (679861262130120).

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

289710760666680 is a wasteful number, since it uses less digits than its factorization.

289710760666680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426643 (or 426633 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 289710760666680 in words is "two hundred eighty-nine trillion, seven hundred ten billion, seven hundred sixty million, six hundred sixty-six thousand, six hundred eighty".