982192608000 has 1152 divisors, whose sum is σ = 3750223276800. Its totient is φ = 253034496000.

The previous prime is 982192607999. The next prime is 982192608071. The reversal of 982192608000 is 806291289.

982192608000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4075487880 + ... + 4075488120.

It is an arithmetic number, because the mean of its divisors is an integer number (3255402150).

Almost surely, 2^982192608000 is an apocalyptic number.

982192608000 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 982192608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875111638400).

982192608000 is an abundant number, since it is smaller than the sum of its proper divisors (2768030668800).

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

982192608000 is a wasteful number, since it uses less digits than its factorization.

982192608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

Adding to 982192608000 its reverse (806291289), we get a palindrome (982998899289).

The spelling of 982192608000 in words is "nine hundred eighty-two billion, one hundred ninety-two million, six hundred eight thousand".