200162544400 has 240 divisors, whose sum is σ = 592428054400. Its totient is φ = 63287930880.

The previous prime is 200162544359. The next prime is 200162544403. The reversal of 200162544400 is 4445261002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (200162544403) 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 47 ways as a sum of consecutive naturals, for example, 53105716 + ... + 53109484.

Almost surely, 2^200162544400 is an apocalyptic number.

200162544400 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 200162544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296214027200).

200162544400 is an abundant number, since it is smaller than the sum of its proper divisors (392265510000).

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

200162544400 is a wasteful number, since it uses less digits than its factorization.

200162544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 200162544400 in words is "two hundred billion, one hundred sixty-two million, five hundred forty-four thousand, four hundred".