13508484080 has 160 divisors (see below), whose sum is σ = 39091248000. Its totient is φ = 4226973696.

The previous prime is 13508484037. The next prime is 13508484089. The reversal of 13508484080 is 8048480531.

13508484080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13508484080² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13508484089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637496 + ... + 658344.

It is an arithmetic number, because the mean of its divisors is an integer number (244320300).

Almost surely, 2^13508484080 is an apocalyptic number.

13508484080 is a gapful number since it is divisible by the number (10) 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 13508484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19545624000).

13508484080 is an abundant number, since it is smaller than the sum of its proper divisors (25582763920).

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

13508484080 is a wasteful number, since it uses less digits than its factorization.

13508484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20971 (or 20965 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 13508484080 in words is "thirteen billion, five hundred eight million, four hundred eighty-four thousand, eighty".