8982198139200 has 1344 divisors, whose sum is σ = 35159477649408. Its totient is φ = 1979021721600.

The previous prime is 8982198139199. The next prime is 8982198139219. The reversal of 8982198139200 is 29318912898.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 14557857292 + ... + 14557857908.

It is an arithmetic number, because the mean of its divisors is an integer number (26160325632).

Almost surely, 2^{8982198139200} is an apocalyptic number.

8982198139200 is a gapful number since it is divisible by the number (80) 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 8982198139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579738824704).

8982198139200 is an abundant number, since it is smaller than the sum of its proper divisors (26177279510208).

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

8982198139200 is a wasteful number, since it uses less digits than its factorization.

8982198139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 60.

The spelling of 8982198139200 in words is "eight trillion, nine hundred eighty-two billion, one hundred ninety-eight million, one hundred thirty-nine thousand, two hundred".