199821962016 has 192 divisors, whose sum is σ = 624592684800. Its totient is φ = 61989193728.

The previous prime is 199821961961. The next prime is 199821962057. The reversal of 199821962016 is 610269128991.

199821962016 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 2 + 1 + 9 + 620 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599380 + ... + 871148.

It is an arithmetic number, because the mean of its divisors is an integer number (3253086900).

Almost surely, 2^199821962016 is an apocalyptic number.

199821962016 is a gapful number since it is divisible by the number (16) 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 199821962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312296342400).

199821962016 is an abundant number, since it is smaller than the sum of its proper divisors (424770722784).

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

199821962016 is a wasteful number, since it uses less digits than its factorization.

199821962016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271848 (or 271834 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 199821962016 in words is "one hundred ninety-nine billion, eight hundred twenty-one million, nine hundred sixty-two thousand, sixteen".