200268331200 has 1008 divisors, whose sum is σ = 872538097440. Its totient is φ = 44521021440.

The previous prime is 200268331183. The next prime is 200268331201. The reversal of 200268331200 is 2133862002.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200268331201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78320322 + ... + 78322878.

Almost surely, 2^200268331200 is an apocalyptic number.

200268331200 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 200268331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436269048720).

200268331200 is an abundant number, since it is smaller than the sum of its proper divisors (672269766240).

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

200268331200 is a wasteful number, since it uses less digits than its factorization.

200268331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 200268331200 in words is "two hundred billion, two hundred sixty-eight million, three hundred thirty-one thousand, two hundred".