200473127710272 has 1344 divisors, whose sum is σ = 645025718937600. Its totient is φ = 61609568993280.

The previous prime is 200473127710267. The next prime is 200473127710279. The reversal of 200473127710272 is 272017721374002.

It is a happy number.

200473127710272 is a `hidden beast` number, since 2 + 0 + 0 + 473 + 1 + 2 + 7 + 7 + 102 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (200473127710279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275753957973 + ... + 275753958699.

It is an arithmetic number, because the mean of its divisors is an integer number (479929850400).

Almost surely, 2^{200473127710272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200473127710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322512859468800).

200473127710272 is an abundant number, since it is smaller than the sum of its proper divisors (444552591227328).

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

200473127710272 is a wasteful number, since it uses less digits than its factorization.

200473127710272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 200473127710272 in words is "two hundred trillion, four hundred seventy-three billion, one hundred twenty-seven million, seven hundred ten thousand, two hundred seventy-two".