13029527808 has 378 divisors, whose sum is σ = 42935897102. Its totient is φ = 3941498880.

The previous prime is 13029527803. The next prime is 13029527809. The reversal of 13029527808 is 80872592031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13006946304 + 22581504 = 114048^2 + 4752^2 .

It is not an unprimeable number, because it can be changed into a prime (13029527803) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 22581216 + ... + 22581792.

Almost surely, 2^13029527808 is an apocalyptic number.

13029527808 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 13029527808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21467948551).

13029527808 is an abundant number, since it is smaller than the sum of its proper divisors (29906369294).

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

13029527808 is an frugal number, since it uses more digits than its factorization.

13029527808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 13029527808 in words is "thirteen billion, twenty-nine million, five hundred twenty-seven thousand, eight hundred eight".