11512331620160 has 112 divisors (see below), whose sum is σ = 31353967085184. Its totient is φ = 3944064165888.

The previous prime is 11512331620133. The next prime is 11512331620201. The reversal of 11512331620160 is 6102613321511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961562 + ... + 4893798.

Almost surely, 2^{11512331620160} is an apocalyptic number.

11512331620160 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 11512331620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676983542592).

11512331620160 is an abundant number, since it is smaller than the sum of its proper divisors (19841635465024).

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

11512331620160 is a wasteful number, since it uses less digits than its factorization.

11512331620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933568 (or 3933558 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

Adding to 11512331620160 its reverse (6102613321511), we get a palindrome (17614944941671).

The spelling of 11512331620160 in words is "eleven trillion, five hundred twelve billion, three hundred thirty-one million, six hundred twenty thousand, one hundred sixty".