199972889600 has 528 divisors, whose sum is σ = 559233849600. Its totient is φ = 70287360000.

The previous prime is 199972889593. The next prime is 199972889639. The reversal of 199972889600 is 6988279991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1979929550 + ... + 1979929650.

Almost surely, 2^199972889600 is an apocalyptic number.

199972889600 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 199972889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279616924800).

199972889600 is an abundant number, since it is smaller than the sum of its proper divisors (359260960000).

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

199972889600 is a wasteful number, since it uses less digits than its factorization.

199972889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 68.

The spelling of 199972889600 in words is "one hundred ninety-nine billion, nine hundred seventy-two million, eight hundred eighty-nine thousand, six hundred".