199401523200000 has 4320 divisors, whose sum is σ = 858702575517696. Its totient is φ = 45785088000000.

The previous prime is 199401523199999. The next prime is 199401523200007. The reversal of 199401523200000 is 2325104991.

199401523200000 is a `hidden beast` number, since 1 + 99 + 40 + 1 + 523 + 2 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199401523200007) 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 287 ways as a sum of consecutive naturals, for example, 4242585599977 + ... + 4242585600023.

Almost surely, 2^{199401523200000} is an apocalyptic number.

199401523200000 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 199401523200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429351287758848).

199401523200000 is an abundant number, since it is smaller than the sum of its proper divisors (659301052317696).

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

199401523200000 is an frugal number, since it uses more digits than its factorization.

199401523200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 199401523200000 its reverse (2325104991), we get a palindrome (199403848304991).

The spelling of 199401523200000 in words is "one hundred ninety-nine trillion, four hundred one billion, five hundred twenty-three million, two hundred thousand".