199981963872 has 36 divisors (see below), whose sum is σ = 568698710580. Its totient is φ = 66660654528.

The previous prime is 199981963829. The next prime is 199981963873. The reversal of 199981963872 is 278369189991.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 199981963872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199981963873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347190622 + ... + 347191197.

It is an arithmetic number, because the mean of its divisors is an integer number (15797186405).

Almost surely, 2^199981963872 is an apocalyptic number.

199981963872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199981963872 is an abundant number, since it is smaller than the sum of its proper divisors (368716746708).

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

199981963872 is a wasteful number, since it uses less digits than its factorization.

199981963872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694381835 (or 694381824 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 72.

The spelling of 199981963872 in words is "one hundred ninety-nine billion, nine hundred eighty-one million, nine hundred sixty-three thousand, eight hundred seventy-two".