982287900720 has 640 divisors, whose sum is σ = 3968506951680. Its totient is φ = 221427136512.

The previous prime is 982287900719. The next prime is 982287900739. The reversal of 982287900720 is 27009782289.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89399067 + ... + 89410053.

It is an arithmetic number, because the mean of its divisors is an integer number (6200792112).

Almost surely, 2^982287900720 is an apocalyptic number.

982287900720 is a gapful number since it is divisible by the number (90) 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 982287900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984253475840).

982287900720 is an abundant number, since it is smaller than the sum of its proper divisors (2986219050960).

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

982287900720 is a wasteful number, since it uses less digits than its factorization.

982287900720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101 (or 11077 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 982287900720 in words is "nine hundred eighty-two billion, two hundred eighty-seven million, nine hundred thousand, seven hundred twenty".