13507043328 has 224 divisors, whose sum is σ = 40577414400. Its totient is φ = 4439605248.

The previous prime is 13507043327. The next prime is 13507043339. The reversal of 13507043328 is 82334070531.

13507043328 is a `hidden beast` number, since 135 + 0 + 70 + 433 + 28 = 666.

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 = 13507043292 and 13507043301.

It is not an unprimeable number, because it can be changed into a prime (13507043327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17473150 + ... + 17473922.

Almost surely, 2^13507043328 is an apocalyptic number.

13507043328 is a gapful number since it is divisible by the number (18) 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 13507043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288707200).

13507043328 is an abundant number, since it is smaller than the sum of its proper divisors (27070371072).

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

13507043328 is an frugal number, since it uses more digits than its factorization.

13507043328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13507043328 in words is "thirteen billion, five hundred seven million, forty-three thousand, three hundred twenty-eight".