201638985600 has 768 divisors, whose sum is σ = 765620372160. Its totient is φ = 46202880000.

The previous prime is 201638985589. The next prime is 201638985631. The reversal of 201638985600 is 6589836102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 201638985600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214281130 + ... + 214282070.

Almost surely, 2^201638985600 is an apocalyptic number.

201638985600 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 201638985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382810186080).

201638985600 is an abundant number, since it is smaller than the sum of its proper divisors (563981386560).

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

201638985600 is a wasteful number, since it uses less digits than its factorization.

201638985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 201638985600 in words is "two hundred one billion, six hundred thirty-eight million, nine hundred eighty-five thousand, six hundred".