13105916640 has 240 divisors, whose sum is σ = 47849266080. Its totient is φ = 3374300160.

The previous prime is 13105916597. The next prime is 13105916647. The reversal of 13105916640 is 4661950131.

13105916640 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 9 + 1 + 6 + 640 = 666.

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

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 = 13105916595 and 13105916604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105916647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358405 + ... + 393275.

It is an arithmetic number, because the mean of its divisors is an integer number (199371942).

Almost surely, 2^13105916640 is an apocalyptic number.

13105916640 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 13105916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23924633040).

13105916640 is an abundant number, since it is smaller than the sum of its proper divisors (34743349440).

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

13105916640 is a wasteful number, since it uses less digits than its factorization.

13105916640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34927 (or 34910 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13105916640 in words is "thirteen billion, one hundred five million, nine hundred sixteen thousand, six hundred forty".