200838432960 has 672 divisors, whose sum is σ = 819848601600. Its totient is φ = 46121011200.

The previous prime is 200838432959. The next prime is 200838432967. The reversal of 200838432960 is 69234838002.

200838432960 is a `hidden beast` number, since 200 + 8 + 3 + 8 + 432 + 9 + 6 + 0 = 666.

200838432960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (200838432967) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19858305 + ... + 19868415.

It is an arithmetic number, because the mean of its divisors is an integer number (1220012800).

Almost surely, 2^200838432960 is an apocalyptic number.

200838432960 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 200838432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409924300800).

200838432960 is an abundant number, since it is smaller than the sum of its proper divisors (619010168640).

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

200838432960 is a wasteful number, since it uses less digits than its factorization.

200838432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178 (or 10151 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 200838432960 in words is "two hundred billion, eight hundred thirty-eight million, four hundred thirty-two thousand, nine hundred sixty".