16131266640 has 400 divisors, whose sum is σ = 58370121216. Its totient is φ = 4124390400.

The previous prime is 16131266603. The next prime is 16131266647. The reversal of 16131266640 is 4666213161.

It is a happy number.

16131266640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16131266595 and 16131266604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16131266647) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 26314974 + ... + 26315586.

Almost surely, 2^16131266640 is an apocalyptic number.

16131266640 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 16131266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29185060608).

16131266640 is an abundant number, since it is smaller than the sum of its proper divisors (42238854576).

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

16131266640 is a wasteful number, since it uses less digits than its factorization.

16131266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16131266640 in words is "sixteen billion, one hundred thirty-one million, two hundred sixty-six thousand, six hundred forty".