11331122105160 has 1536 divisors, whose sum is σ = 47377438617600. Its totient is φ = 2394594938880.

The previous prime is 11331122105119. The next prime is 11331122105189. The reversal of 11331122105160 is 6150122113311.

11331122105160 is a `hidden beast` number, since 1 + 1 + 33 + 112 + 2 + 1 + 0 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13283847294 + ... + 13283848146.

It is an arithmetic number, because the mean of its divisors is an integer number (30844686600).

Almost surely, 2^{11331122105160} is an apocalyptic number.

11331122105160 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 11331122105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688719308800).

11331122105160 is an abundant number, since it is smaller than the sum of its proper divisors (36046316512440).

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

11331122105160 is a wasteful number, since it uses less digits than its factorization.

11331122105160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 11331122105160 its reverse (6150122113311), we get a palindrome (17481244218471).

The spelling of 11331122105160 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred five thousand, one hundred sixty".