11313875160 has 192 divisors, whose sum is σ = 42068782080. Its totient is φ = 2583210240.

The previous prime is 11313875149. The next prime is 11313875161. The reversal of 11313875160 is 6157831311.

11313875160 is a `hidden beast` number, since 1 + 1 + 3 + 138 + 7 + 516 + 0 = 666.

It is a super-2 number, since 2×11313875160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313875161) by changing a digit.

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, 3080125 + ... + 3083795.

It is an arithmetic number, because the mean of its divisors is an integer number (219108240).

Almost surely, 2^11313875160 is an apocalyptic number.

11313875160 is a gapful number since it is divisible by the number (10) 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 11313875160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034391040).

11313875160 is an abundant number, since it is smaller than the sum of its proper divisors (30754906920).

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

11313875160 is a wasteful number, since it uses less digits than its factorization.

11313875160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4911 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11313875160 in words is "eleven billion, three hundred thirteen million, eight hundred seventy-five thousand, one hundred sixty".