13453590528 has 480 divisors, whose sum is σ = 47726519100. Its totient is φ = 3641573376.

The previous prime is 13453590517. The next prime is 13453590551. The reversal of 13453590528 is 82509535431.

13453590528 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 3 + 590 + 52 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 708083703 + ... + 708083721.

Almost surely, 2^13453590528 is an apocalyptic number.

13453590528 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 13453590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23863259550).

13453590528 is an abundant number, since it is smaller than the sum of its proper divisors (34272928572).

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

13453590528 is an frugal number, since it uses more digits than its factorization.

13453590528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13453590528 in words is "thirteen billion, four hundred fifty-three million, five hundred ninety thousand, five hundred twenty-eight".