199844198161920 has 640 divisors, whose sum is σ = 771613043604480. Its totient is φ = 48732652339200.

The previous prime is 199844198161903. The next prime is 199844198161921. The reversal of 199844198161920 is 29161891448991.

199844198161920 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 4 + 419 + 8 + 16 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199844198161921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95106645 + ... + 97185195.

It is an arithmetic number, because the mean of its divisors is an integer number (1205645380632).

Almost surely, 2^{199844198161920} is an apocalyptic number.

199844198161920 is a gapful number since it is divisible by the number (10) 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 199844198161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385806521802240).

199844198161920 is an abundant number, since it is smaller than the sum of its proper divisors (571768845442560).

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

199844198161920 is a wasteful number, since it uses less digits than its factorization.

199844198161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078703 (or 2078681 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 72.

The spelling of 199844198161920 in words is "one hundred ninety-nine trillion, eight hundred forty-four billion, one hundred ninety-eight million, one hundred sixty-one thousand, nine hundred twenty".