9982209976200 has 2688 divisors, whose sum is σ = 46024845649920. Its totient is φ = 1951041945600.

The previous prime is 9982209976199. The next prime is 9982209976213. The reversal of 9982209976200 is 26799022899.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 17300190312 + ... + 17300190888.

Almost surely, 2^{9982209976200} is an apocalyptic number.

9982209976200 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 9982209976200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23012422824960).

9982209976200 is an abundant number, since it is smaller than the sum of its proper divisors (36042635673720).

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

9982209976200 is a wasteful number, since it uses less digits than its factorization.

9982209976200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 9982209976200 in words is "nine trillion, nine hundred eighty-two billion, two hundred nine million, nine hundred seventy-six thousand, two hundred".