199694720400 has 240 divisors, whose sum is σ = 732164281344. Its totient is φ = 45576368640.

The previous prime is 199694720387. The next prime is 199694720411. The reversal of 199694720400 is 4027496991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5719797 + ... + 5754603.

Almost surely, 2^199694720400 is an apocalyptic number.

199694720400 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 199694720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366082140672).

199694720400 is an abundant number, since it is smaller than the sum of its proper divisors (532469560944).

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

199694720400 is a wasteful number, since it uses less digits than its factorization.

199694720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35518 (or 35507 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 199694720400 in words is "one hundred ninety-nine billion, six hundred ninety-four million, seven hundred twenty thousand, four hundred".