13289952960 has 672 divisors, whose sum is σ = 50972313600. Its totient is φ = 3255275520.

The previous prime is 13289952947. The next prime is 13289952983. The reversal of 13289952960 is 6925998231.

It is a happy number.

13289952960 is a `hidden beast` number, since 1 + 3 + 28 + 99 + 529 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13289952897 and 13289952906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225253411 + ... + 225253469.

Almost surely, 2^13289952960 is an apocalyptic number.

13289952960 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 13289952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25486156800).

13289952960 is an abundant number, since it is smaller than the sum of its proper divisors (37682360640).

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

13289952960 is a wasteful number, since it uses less digits than its factorization.

13289952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 13289952960 in words is "thirteen billion, two hundred eighty-nine million, nine hundred fifty-two thousand, nine hundred sixty".