13523563008 has 400 divisors, whose sum is σ = 42557585664. Its totient is φ = 4269957120.

The previous prime is 13523563007. The next prime is 13523563013. The reversal of 13523563008 is 80036532531.

13523563008 is a `hidden beast` number, since 13 + 5 + 2 + 3 + 5 + 630 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523563007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86137266 + ... + 86137422.

Almost surely, 2^13523563008 is an apocalyptic number.

13523563008 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 13523563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278792832).

13523563008 is an abundant number, since it is smaller than the sum of its proper divisors (29034022656).

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

13523563008 is an equidigital number, since it uses as much as digits as its factorization.

13523563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13523563008 in words is "thirteen billion, five hundred twenty-three million, five hundred sixty-three thousand, eight".