982729342560 has 384 divisors, whose sum is σ = 3718630508544. Its totient is φ = 213286993920.

The previous prime is 982729342559. The next prime is 982729342589. The reversal of 982729342560 is 65243927289.

It is a self number, because there is not a number n which added to its sum of digits gives 982729342560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10540950 + ... + 10633770.

It is an arithmetic number, because the mean of its divisors is an integer number (9683933616).

Almost surely, 2^982729342560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982729342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859315254272).

982729342560 is an abundant number, since it is smaller than the sum of its proper divisors (2735901165984).

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

982729342560 is a wasteful number, since it uses less digits than its factorization.

982729342560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93006 (or 92998 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 982729342560 in words is "nine hundred eighty-two billion, seven hundred twenty-nine million, three hundred forty-two thousand, five hundred sixty".