199755072000 has 1600 divisors, whose sum is σ = 845321038848. Its totient is φ = 46448640000.

The previous prime is 199755071953. The next prime is 199755072053. The reversal of 199755072000 is 270557991.

199755072000 is a `hidden beast` number, since 1 + 9 + 97 + 550 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1767743944 + ... + 1767744056.

Almost surely, 2^199755072000 is an apocalyptic number.

199755072000 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 199755072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422660519424).

199755072000 is an abundant number, since it is smaller than the sum of its proper divisors (645565966848).

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

199755072000 is a wasteful number, since it uses less digits than its factorization.

199755072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 199755072000 in words is "one hundred ninety-nine billion, seven hundred fifty-five million, seventy-two thousand".