199893888000 has 1056 divisors, whose sum is σ = 780115302720. Its totient is φ = 49034035200.

The previous prime is 199893887987. The next prime is 199893888043. The reversal of 199893888000 is 888398991.

It is a super-4 number, since 4×199893888000⁴ (a number of 46 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1155455914 + ... + 1155456086.

Almost surely, 2^199893888000 is an apocalyptic number.

199893888000 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 199893888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390057651360).

199893888000 is an abundant number, since it is smaller than the sum of its proper divisors (580221414720).

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

199893888000 is a wasteful number, since it uses less digits than its factorization.

199893888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 199893888000 in words is "one hundred ninety-nine billion, eight hundred ninety-three million, eight hundred eighty-eight thousand".