199423973548800 has 12960 divisors, whose sum is σ = 1096399559270400. Its totient is φ = 35407798272000.

The previous prime is 199423973548799. The next prime is 199423973548883. The reversal of 199423973548800 is 8845379324991.

199423973548800 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 2 + 3 + 9 + 73 + 548 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 6433031404785 + ... + 6433031404815.

Almost surely, 2^{199423973548800} is an apocalyptic number.

199423973548800 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 199423973548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548199779635200).

199423973548800 is an abundant number, since it is smaller than the sum of its proper divisors (896975585721600).

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

199423973548800 is a wasteful number, since it uses less digits than its factorization.

199423973548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 199423973548800 in words is "one hundred ninety-nine trillion, four hundred twenty-three billion, nine hundred seventy-three million, five hundred forty-eight thousand, eight hundred".