13499760960 has 336 divisors, whose sum is σ = 54781289472. Its totient is φ = 2985984000.

The previous prime is 13499760917. The next prime is 13499761001. The reversal of 13499760960 is 6906799431.

13499760960 is a `hidden beast` number, since 1 + 3 + 499 + 7 + 60 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 13499760897 and 13499760906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614160 + ... + 635760.

It is an arithmetic number, because the mean of its divisors is an integer number (163039552).

Almost surely, 2^13499760960 is an apocalyptic number.

13499760960 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 13499760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27390644736).

13499760960 is an abundant number, since it is smaller than the sum of its proper divisors (41281528512).

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

13499760960 is a wasteful number, since it uses less digits than its factorization.

13499760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21662 (or 21649 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 13499760960 in words is "thirteen billion, four hundred ninety-nine million, seven hundred sixty thousand, nine hundred sixty".