201608997511680 has 1200 divisors, whose sum is σ = 815168376431640. Its totient is φ = 47553746042880.

The previous prime is 201608997511679. The next prime is 201608997511693. The reversal of 201608997511680 is 86115799806102.

201608997511680 is a `hidden beast` number, since 2 + 0 + 1 + 608 + 9 + 9 + 7 + 5 + 1 + 16 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182176135485696 + 19432862025984 = 13497264^2 + 4408272^2 .

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 928242136 + ... + 928459304.

Almost surely, 2^{201608997511680} is an apocalyptic number.

201608997511680 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 201608997511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407584188215820).

201608997511680 is an abundant number, since it is smaller than the sum of its proper divisors (613559378919960).

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

201608997511680 is a wasteful number, since it uses less digits than its factorization.

201608997511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217263 (or 217227 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 201608997511680 in words is "two hundred one trillion, six hundred eight billion, nine hundred ninety-seven million, five hundred eleven thousand, six hundred eighty".