199190128800 has 432 divisors, whose sum is σ = 741760461792. Its totient is φ = 46145126400.

The previous prime is 199190128747. The next prime is 199190128847. The reversal of 199190128800 is 8821091991.

It is a super-4 number, since 4×199190128800⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199190128800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9005755 + ... + 9027845.

It is an arithmetic number, because the mean of its divisors is an integer number (1717038106).

Almost surely, 2^199190128800 is an apocalyptic number.

199190128800 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 199190128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370880230896).

199190128800 is an abundant number, since it is smaller than the sum of its proper divisors (542570332992).

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

199190128800 is a wasteful number, since it uses less digits than its factorization.

199190128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22161 (or 22131 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 48.

The spelling of 199190128800 in words is "one hundred ninety-nine billion, one hundred ninety million, one hundred twenty-eight thousand, eight hundred".