200143872000 has 1120 divisors, whose sum is σ = 791668500480. Its totient is φ = 50164531200.

The previous prime is 200143871959. The next prime is 200143872001. The reversal of 200143872000 is 278341002.

200143872000 is a `hidden beast` number, since 20 + 0 + 1 + 438 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200143872001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1575935937 + ... + 1575936063.

Almost surely, 2^200143872000 is an apocalyptic number.

200143872000 is a gapful number since it is divisible by the number (20) 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 200143872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395834250240).

200143872000 is an abundant number, since it is smaller than the sum of its proper divisors (591524628480).

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

200143872000 is an equidigital number, since it uses as much as digits as its factorization.

200143872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 200143872000 in words is "two hundred billion, one hundred forty-three million, eight hundred seventy-two thousand".