13529881008 has 400 divisors, whose sum is σ = 47509625856. Its totient is φ = 3633569280.

The previous prime is 13529880989. The next prime is 13529881033. The reversal of 13529881008 is 80018892531.

It is a happy number.

13529881008 is a `hidden beast` number, since 13 + 529 + 8 + 8 + 100 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12727485 + ... + 12728547.

Almost surely, 2^13529881008 is an apocalyptic number.

13529881008 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 13529881008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23754812928).

13529881008 is an abundant number, since it is smaller than the sum of its proper divisors (33979744848).

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

13529881008 is a wasteful number, since it uses less digits than its factorization.

13529881008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 13529881008 in words is "thirteen billion, five hundred twenty-nine million, eight hundred eighty-one thousand, eight".