13530567456 has 192 divisors, whose sum is σ = 45776424960. Its totient is φ = 3808062720.

The previous prime is 13530567433. The next prime is 13530567469. The reversal of 13530567456 is 65476503531.

13530567456 is a `hidden beast` number, since 1 + 3 + 5 + 30 + 567 + 4 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388521 + ... + 421911.

It is an arithmetic number, because the mean of its divisors is an integer number (238418880).

Almost surely, 2^13530567456 is an apocalyptic number.

13530567456 is a gapful number since it is divisible by the number (16) 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 13530567456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22888212480).

13530567456 is an abundant number, since it is smaller than the sum of its proper divisors (32245857504).

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

13530567456 is a wasteful number, since it uses less digits than its factorization.

13530567456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33484 (or 33470 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 13530567456 in words is "thirteen billion, five hundred thirty million, five hundred sixty-seven thousand, four hundred fifty-six".