13405458528 has 672 divisors, whose sum is σ = 52354874880. Its totient is φ = 3269652480.

The previous prime is 13405458509. The next prime is 13405458611. The reversal of 13405458528 is 82585450431.

13405458528 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 545 + 85 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30536133 + ... + 30536571.

It is an arithmetic number, because the mean of its divisors is an integer number (77909040).

Almost surely, 2^13405458528 is an apocalyptic number.

13405458528 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 13405458528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177437440).

13405458528 is an abundant number, since it is smaller than the sum of its proper divisors (38949416352).

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

13405458528 is a wasteful number, since it uses less digits than its factorization.

13405458528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 13405458528 in words is "thirteen billion, four hundred five million, four hundred fifty-eight thousand, five hundred twenty-eight".