199089750937968 has 480 divisors, whose sum is σ = 642453674833152. Its totient is φ = 59171523840000.

The previous prime is 199089750937927. The next prime is 199089750937969. The reversal of 199089750937968 is 869739057980991.

199089750937968 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 8 + 9 + 7 + 509 + 3 + 7 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199089750937969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7369041196 + ... + 7369068212.

Almost surely, 2^{199089750937968} is an apocalyptic number.

199089750937968 is a gapful number since it is divisible by the number (18) 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 199089750937968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321226837416576).

199089750937968 is an abundant number, since it is smaller than the sum of its proper divisors (443363923895184).

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

199089750937968 is a wasteful number, since it uses less digits than its factorization.

199089750937968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30355 (or 30337 counting only the distinct ones).

The product of its (nonzero) digits is 16665989760, while the sum is 90.

The spelling of 199089750937968 in words is "one hundred ninety-nine trillion, eighty-nine billion, seven hundred fifty million, nine hundred thirty-seven thousand, nine hundred sixty-eight".