982842094080 has 3840 divisors, whose sum is σ = 4901034885120. Its totient is φ = 183936614400.

The previous prime is 982842094027. The next prime is 982842094109. The reversal of 982842094080 is 80490248289.

982842094080 is a `hidden beast` number, since 9 + 8 + 28 + 4 + 209 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26563299822 + ... + 26563299858.

It is an arithmetic number, because the mean of its divisors is an integer number (1276311168).

Almost surely, 2^982842094080 is an apocalyptic number.

982842094080 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 982842094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450517442560).

982842094080 is an abundant number, since it is smaller than the sum of its proper divisors (3918192791040).

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

982842094080 is a wasteful number, since it uses less digits than its factorization.

982842094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

It can be divided in two parts, 98284209 and 4080, that added together give a palindrome (98288289).

The spelling of 982842094080 in words is "nine hundred eighty-two billion, eight hundred forty-two million, ninety-four thousand, eighty".