200936947825152 has 720 divisors, whose sum is σ = 742677771607200. Its totient is φ = 51712525025280.

The previous prime is 200936947825139. The next prime is 200936947825231. The reversal of 200936947825152 is 251528749639002.

200936947825152 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 3 + 6 + 9 + 478 + 2 + 5 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 200936947825152.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270353499 + ... + 271095717.

It is an arithmetic number, because the mean of its divisors is an integer number (1031496905010).

It is a 1-persistent number, because it is pandigital, but 2⋅200936947825152 = 401873895650304 is not.

Almost surely, 2^{200936947825152} is an apocalyptic number.

200936947825152 is a gapful number since it is divisible by the number (22) 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 200936947825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371338885803600).

200936947825152 is an abundant number, since it is smaller than the sum of its proper divisors (541740823782048).

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

200936947825152 is a wasteful number, since it uses less digits than its factorization.

200936947825152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742377 (or 742351 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 200936947825152 in words is "two hundred trillion, nine hundred thirty-six billion, nine hundred forty-seven million, eight hundred twenty-five thousand, one hundred fifty-two".