16131180000 has 240 divisors, whose sum is σ = 56986520976. Its totient is φ = 3970560000.

The previous prime is 16131179947. The next prime is 16131180017. The reversal of 16131180000 is 8113161.

16131180000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 769660 + ... + 790340.

Almost surely, 2^16131180000 is an apocalyptic number.

16131180000 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 16131180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28493260488).

16131180000 is an abundant number, since it is smaller than the sum of its proper divisors (40855340976).

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

16131180000 is a wasteful number, since it uses less digits than its factorization.

16131180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20727 (or 20704 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 16131180000 its reverse (8113161), we get a palindrome (16139293161).

The spelling of 16131180000 in words is "sixteen billion, one hundred thirty-one million, one hundred eighty thousand".