201669160160160 has 3072 divisors, whose sum is σ = 942106617446400. Its totient is φ = 39055874457600.

The previous prime is 201669160160093. The next prime is 201669160160177. The reversal of 201669160160160 is 61061061966102.

201669160160160 is a `hidden beast` number, since 20 + 1 + 6 + 6 + 9 + 1 + 601 + 6 + 0 + 16 + 0 = 666.

201669160160160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 184509752574 + ... + 184509753666.

It is an arithmetic number, because the mean of its divisors is an integer number (306675331200).

Almost surely, 2^{201669160160160} is an apocalyptic number.

201669160160160 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 201669160160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471053308723200).

201669160160160 is an abundant number, since it is smaller than the sum of its proper divisors (740437457286240).

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

201669160160160 is a wasteful number, since it uses less digits than its factorization.

201669160160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 201669160160160 in words is "two hundred one trillion, six hundred sixty-nine billion, one hundred sixty million, one hundred sixty thousand, one hundred sixty".