201628681428960 has 576 divisors, whose sum is σ = 703746755712000. Its totient is φ = 52557638455296.

The previous prime is 201628681428943. The next prime is 201628681428961. The reversal of 201628681428960 is 69824186826102.

201628681428960 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 286 + 8 + 14 + 289 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201628681428961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5203704307 + ... + 5203743053.

It is an arithmetic number, because the mean of its divisors is an integer number (1221782562000).

Almost surely, 2^{201628681428960} is an apocalyptic number.

201628681428960 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 201628681428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351873377856000).

201628681428960 is an abundant number, since it is smaller than the sum of its proper divisors (502118074283040).

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

201628681428960 is a wasteful number, since it uses less digits than its factorization.

201628681428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39303 (or 39292 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 201628681428960 in words is "two hundred one trillion, six hundred twenty-eight billion, six hundred eighty-one million, four hundred twenty-eight thousand, nine hundred sixty".