199456320000 has 800 divisors, whose sum is σ = 771913308672. Its totient is φ = 44808192000.

The previous prime is 199456319981. The next prime is 199456320023. The reversal of 199456320000 is 23654991.

It is a tau number, because it is divible by the number of its divisors (800).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 450239779 + ... + 450240221.

Almost surely, 2^199456320000 is an apocalyptic number.

199456320000 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 199456320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385956654336).

199456320000 is an abundant number, since it is smaller than the sum of its proper divisors (572456988672).

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

199456320000 is an frugal number, since it uses more digits than its factorization.

199456320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

Adding to 199456320000 its reverse (23654991), we get a palindrome (199479974991).

The spelling of 199456320000 in words is "one hundred ninety-nine billion, four hundred fifty-six million, three hundred twenty thousand".