11132238905160 has 128 divisors (see below), whose sum is σ = 33903732280320. Its totient is φ = 2923551366912.

The previous prime is 11132238905107. The next prime is 11132238905167. The reversal of 11132238905160 is 6150983223111.

It is a happy number.

It is a super-3 number, since 3×11132238905160³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11132238905167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32043507 + ... + 32389053.

It is an arithmetic number, because the mean of its divisors is an integer number (264872908440).

Almost surely, 2^{11132238905160} is an apocalyptic number.

11132238905160 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 11132238905160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951866140160).

11132238905160 is an abundant number, since it is smaller than the sum of its proper divisors (22771493375160).

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

11132238905160 is a wasteful number, since it uses less digits than its factorization.

11132238905160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349635 (or 349631 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11132238905160 in words is "eleven trillion, one hundred thirty-two billion, two hundred thirty-eight million, nine hundred five thousand, one hundred sixty".