13529463552 has 216 divisors, whose sum is σ = 42702266880. Its totient is φ = 4085667840.

The previous prime is 13529463533. The next prime is 13529463587. The reversal of 13529463552 is 25536492531.

13529463552 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 9 + 4 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13529463498 and 13529463507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9097753 + ... + 9099239.

It is an arithmetic number, because the mean of its divisors is an integer number (197695680).

Almost surely, 2^13529463552 is an apocalyptic number.

13529463552 is a gapful number since it is divisible by the number (12) 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 13529463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351133440).

13529463552 is an abundant number, since it is smaller than the sum of its proper divisors (29172803328).

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

13529463552 is a wasteful number, since it uses less digits than its factorization.

13529463552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1862 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 13529463552 in words is "thirteen billion, five hundred twenty-nine million, four hundred sixty-three thousand, five hundred fifty-two".