13526835920 has 80 divisors (see below), whose sum is σ = 34784596560. Its totient is φ = 4859523072.

The previous prime is 13526835899. The next prime is 13526835953. The reversal of 13526835920 is 2953862531.

It can be written as a sum of positive squares in 8 ways, for example, as 282508864 + 13244327056 = 16808^2 + 115084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137285 + ... + 214244.

It is an arithmetic number, because the mean of its divisors is an integer number (434807457).

Almost surely, 2^13526835920 is an apocalyptic number.

13526835920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13526835920 is an abundant number, since it is smaller than the sum of its proper divisors (21257760640).

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

13526835920 is a wasteful number, since it uses less digits than its factorization.

13526835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351592 (or 351586 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 13526835920 in words is "thirteen billion, five hundred twenty-six million, eight hundred thirty-five thousand, nine hundred twenty".