200894967000 has 1536 divisors, whose sum is σ = 906654228480. Its totient is φ = 38917324800.

The previous prime is 200894966971. The next prime is 200894967001. The reversal of 200894967000 is 769498002.

It is a happy number.

200894967000 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200894967001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 654380847 + ... + 654381153.

It is an arithmetic number, because the mean of its divisors is an integer number (590269680).

Almost surely, 2^200894967000 is an apocalyptic number.

200894967000 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 200894967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453327114240).

200894967000 is an abundant number, since it is smaller than the sum of its proper divisors (705759261480).

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

200894967000 is a wasteful number, since it uses less digits than its factorization.

200894967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 200894967000 in words is "two hundred billion, eight hundred ninety-four million, nine hundred sixty-seven thousand".