199857120000 has 720 divisors, whose sum is σ = 711390882048. Its totient is φ = 49674240000.

The previous prime is 199857119999. The next prime is 199857120019. The reversal of 199857120000 is 21758991.

It is a congruent number.

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, 474719790 + ... + 474720210.

Almost surely, 2^199857120000 is an apocalyptic number.

199857120000 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 199857120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355695441024).

199857120000 is an abundant number, since it is smaller than the sum of its proper divisors (511533762048).

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

199857120000 is an equidigital number, since it uses as much as digits as its factorization.

199857120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

Adding to 199857120000 its reverse (21758991), we get a palindrome (199878878991).

The spelling of 199857120000 in words is "one hundred ninety-nine billion, eight hundred fifty-seven million, one hundred twenty thousand".