13523303808 has 576 divisors, whose sum is σ = 49521326400. Its totient is φ = 3652604928.

The previous prime is 13523303747. The next prime is 13523303821. The reversal of 13523303808 is 80830332531.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28957591 + ... + 28958057.

It is an arithmetic number, because the mean of its divisors is an integer number (85974525).

Almost surely, 2^13523303808 is an apocalyptic number.

13523303808 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 13523303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760663200).

13523303808 is an abundant number, since it is smaller than the sum of its proper divisors (35998022592).

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

13523303808 is an equidigital number, since it uses as much as digits as its factorization.

13523303808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13523303808 in words is "thirteen billion, five hundred twenty-three million, three hundred three thousand, eight hundred eight".