201339975106728 has 128 divisors (see below), whose sum is σ = 566569340928000. Its totient is φ = 66238965673920.

The previous prime is 201339975106663. The next prime is 201339975106771. The reversal of 201339975106728 is 827601579933102.

201339975106728 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 3 + 9 + 97 + 510 + 6 + 7 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43369201 + ... + 47786687.

It is an arithmetic number, because the mean of its divisors is an integer number (4426322976000).

Almost surely, 2^{201339975106728} 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 201339975106728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283284670464000).

201339975106728 is an abundant number, since it is smaller than the sum of its proper divisors (365229365821272).

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

201339975106728 is a wasteful number, since it uses less digits than its factorization.

201339975106728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420252 (or 4420242 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 201339975106728 in words is "two hundred one trillion, three hundred thirty-nine billion, nine hundred seventy-five million, one hundred six thousand, seven hundred twenty-eight".