11534164180 has 96 divisors (see below), whose sum is σ = 30476033280. Its totient is φ = 3562030080.

The previous prime is 11534164163. The next prime is 11534164193. The reversal of 11534164180 is 8146143511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133504 + ... + 202216.

It is an arithmetic number, because the mean of its divisors is an integer number (317458680).

Almost surely, 2^11534164180 is an apocalyptic number.

11534164180 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 11534164180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238016640).

11534164180 is an abundant number, since it is smaller than the sum of its proper divisors (18941869100).

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

11534164180 is a wasteful number, since it uses less digits than its factorization.

11534164180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68849 (or 68847 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 11534164180 in words is "eleven billion, five hundred thirty-four million, one hundred sixty-four thousand, one hundred eighty".