11005323671160 has 1536 divisors, whose sum is σ = 47076277248000. Its totient is φ = 2165062348800.

The previous prime is 11005323671123. The next prime is 11005323671171. The reversal of 11005323671160 is 6117632350011.

11005323671160 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 532 + 3 + 6 + 7 + 116 + 0 = 666.

It is a super-2 number, since 2×11005323671160² (a number of 27 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11334009475 + ... + 11334010445.

It is an arithmetic number, because the mean of its divisors is an integer number (30648618000).

Almost surely, 2^{11005323671160} is an apocalyptic number.

11005323671160 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 11005323671160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538138624000).

11005323671160 is an abundant number, since it is smaller than the sum of its proper divisors (36070953576840).

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

11005323671160 is a wasteful number, since it uses less digits than its factorization.

11005323671160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11005323671160 in words is "eleven trillion, five billion, three hundred twenty-three million, six hundred seventy-one thousand, one hundred sixty".