201116160 has 480 divisors, whose sum is σ = 842624640. Its totient is φ = 43352064.

The previous prime is 201116147. The next prime is 201116173. The reversal of 201116160 is 61611102.

It is an interprime number because it is at equal distance from previous prime (201116147) and next prime (201116173).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4677099 + ... + 4677141.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 2^201116160 is an apocalyptic number.

201116160 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 201116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

201116160 is an abundant number, since it is smaller than the sum of its proper divisors (641508480).

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

201116160 is a wasteful number, since it uses less digits than its factorization.

201116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 201116160 is about 14181.5429343919. The cubic root of 201116160 is about 585.8894206736.

Adding to 201116160 its reverse (61611102), we get a palindrome (262727262).

The spelling of 201116160 in words is "two hundred one million, one hundred sixteen thousand, one hundred sixty".