199943853419520 has 1584 divisors, whose sum is σ = 844112623730688. Its totient is φ = 43550059069440.

The previous prime is 199943853419473. The next prime is 199943853419521. The reversal of 199943853419520 is 25914358349991.

199943853419520 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 4 + 3 + 8 + 53 + 41 + 9 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (199943853419521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14073608257 + ... + 14073622463.

Almost surely, 2^{199943853419520} is an apocalyptic number.

199943853419520 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 199943853419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422056311865344).

199943853419520 is an abundant number, since it is smaller than the sum of its proper divisors (644168770311168).

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

199943853419520 is a wasteful number, since it uses less digits than its factorization.

199943853419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14546 (or 14518 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 199943853419520 in words is "one hundred ninety-nine trillion, nine hundred forty-three billion, eight hundred fifty-three million, four hundred nineteen thousand, five hundred twenty".