201889931355200 has 672 divisors, whose sum is σ = 609781951457280. Its totient is φ = 64903956480000.

The previous prime is 201889931355173. The next prime is 201889931355253. The reversal of 201889931355200 is 2553139988102.

It is a happy 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, 315019085 + ... + 315659315.

It is an arithmetic number, because the mean of its divisors is an integer number (907413618240).

Almost surely, 2^{201889931355200} is an apocalyptic number.

201889931355200 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 201889931355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304890975728640).

201889931355200 is an abundant number, since it is smaller than the sum of its proper divisors (407892020102080).

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

201889931355200 is a wasteful number, since it uses less digits than its factorization.

201889931355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640347 (or 640332 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 56.

The spelling of 201889931355200 in words is "two hundred one trillion, eight hundred eighty-nine billion, nine hundred thirty-one million, three hundred fifty-five thousand, two hundred".