199455328800 has 2304 divisors, whose sum is σ = 967618068480. Its totient is φ = 38459473920.

The previous prime is 199455328789. The next prime is 199455328819. The reversal of 199455328800 is 8823554991.

199455328800 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 553 + 2 + 8 + 80 + 0 = 666.

It is a super-3 number, since 3×199455328800³ (a number of 35 digits) contains 333 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1570514337 + ... + 1570514463.

It is an arithmetic number, because the mean of its divisors is an integer number (419973120).

Almost surely, 2^199455328800 is an apocalyptic number.

199455328800 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 199455328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483809034240).

199455328800 is an abundant number, since it is smaller than the sum of its proper divisors (768162739680).

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

199455328800 is a wasteful number, since it uses less digits than its factorization.

199455328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 199455328800 in words is "one hundred ninety-nine billion, four hundred fifty-five million, three hundred twenty-eight thousand, eight hundred".