201728215126368 has 576 divisors, whose sum is σ = 688969469260800. Its totient is φ = 54740314607616.

The previous prime is 201728215126367. The next prime is 201728215126379. The reversal of 201728215126368 is 863621512827102.

It is a happy number.

201728215126368 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 2 + 8 + 2 + 1 + 512 + 63 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201728215126363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33694370671 + ... + 33694376657.

It is an arithmetic number, because the mean of its divisors is an integer number (1196127550800).

Almost surely, 2^{201728215126368} is an apocalyptic number.

201728215126368 is a gapful number since it is divisible by the number (28) 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 201728215126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344484734630400).

201728215126368 is an abundant number, since it is smaller than the sum of its proper divisors (487241254134432).

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

201728215126368 is a wasteful number, since it uses less digits than its factorization.

201728215126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 201728215126368 in words is "two hundred one trillion, seven hundred twenty-eight billion, two hundred fifteen million, one hundred twenty-six thousand, three hundred sixty-eight".