201112751160 has 384 divisors, whose sum is σ = 701550720000. Its totient is φ = 49816166400.

The previous prime is 201112751101. The next prime is 201112751207. The reversal of 201112751160 is 61157211102.

201112751160 is a `hidden beast` number, since 20 + 1 + 1 + 127 + 511 + 6 + 0 = 666.

It is a super-3 number, since 3×201112751160³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96641320 + ... + 96643400.

It is an arithmetic number, because the mean of its divisors is an integer number (1826955000).

Almost surely, 2^201112751160 is an apocalyptic number.

201112751160 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 201112751160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350775360000).

201112751160 is an abundant number, since it is smaller than the sum of its proper divisors (500437968840).

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

201112751160 is a wasteful number, since it uses less digits than its factorization.

201112751160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 201112751160 its reverse (61157211102), we get a palindrome (262269962262).

The spelling of 201112751160 in words is "two hundred one billion, one hundred twelve million, seven hundred fifty-one thousand, one hundred sixty".