982207017792 has 1792 divisors, whose sum is σ = 4047353856000. Its totient is φ = 225382072320.

The previous prime is 982207017739. The next prime is 982207017809. The reversal of 982207017792 is 297710702289.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6591993334 + ... + 6591993482.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568000).

Almost surely, 2^982207017792 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 982207017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928000).

982207017792 is an abundant number, since it is smaller than the sum of its proper divisors (3065146838208).

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

982207017792 is a wasteful number, since it uses less digits than its factorization.

982207017792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 982207017792 in words is "nine hundred eighty-two billion, two hundred seven million, seventeen thousand, seven hundred ninety-two".