199989959850000 has 1680 divisors, whose sum is σ = 749972321730576. Its totient is φ = 51597803520000.

The previous prime is 199989959849941. The next prime is 199989959850047. The reversal of 199989959850000 is 58959989991.

It is a happy number.

199989959850000 is a `hidden beast` number, since 19 + 9 + 9 + 8 + 9 + 9 + 5 + 98 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 144612073026576 + 55377886823424 = 12025476^2 + 7441632^2 .

It is a super-2 number, since 2×199989959850000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 199989959849892 and 199989959849901.

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 335 ways as a sum of consecutive naturals, for example, 346603049712 + ... + 346603050288.

Almost surely, 2^{199989959850000} is an apocalyptic number.

199989959850000 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 199989959850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374986160865288).

199989959850000 is an abundant number, since it is smaller than the sum of its proper divisors (549982361880576).

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

199989959850000 is an frugal number, since it uses more digits than its factorization.

199989959850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 850305600, while the sum is 81.

The spelling of 199989959850000 in words is "one hundred ninety-nine trillion, nine hundred eighty-nine billion, nine hundred fifty-nine million, eight hundred fifty thousand".