199961395200 has 1620 divisors, whose sum is σ = 885164330232. Its totient is φ = 44590694400.

The previous prime is 199961395157. The next prime is 199961395201. The reversal of 199961395200 is 2593169991.

199961395200 is a `hidden beast` number, since 19 + 9 + 9 + 613 + 9 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199961395201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4877107180 + ... + 4877107220.

Almost surely, 2^199961395200 is an apocalyptic number.

199961395200 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 199961395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442582165116).

199961395200 is an abundant number, since it is smaller than the sum of its proper divisors (685202935032).

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

199961395200 is an frugal number, since it uses more digits than its factorization.

199961395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 199961395200 in words is "one hundred ninety-nine billion, nine hundred sixty-one million, three hundred ninety-five thousand, two hundred".