13505518080 has 720 divisors, whose sum is σ = 52542433944. Its totient is φ = 3192913920.

The previous prime is 13505518069. The next prime is 13505518087. The reversal of 13505518080 is 8081550531.

13505518080 is a `hidden beast` number, since 1 + 350 + 55 + 180 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 596922624 + 12908595456 = 24432^2 + 113616^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (13505518087) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329402860 + ... + 329402900.

Almost surely, 2^13505518080 is an apocalyptic number.

13505518080 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 13505518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26271216972).

13505518080 is an abundant number, since it is smaller than the sum of its proper divisors (39036915864).

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

13505518080 is a wasteful number, since it uses less digits than its factorization.

13505518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 13505518080 in words is "thirteen billion, five hundred five million, five hundred eighteen thousand, eighty".