13509175680 has 1536 divisors, whose sum is σ = 65637734400. Its totient is φ = 2554675200.

The previous prime is 13509175663. The next prime is 13509175723. The reversal of 13509175680 is 8657190531.

It is a happy number.

13509175680 is a `hidden beast` number, since 1 + 3 + 509 + 17 + 56 + 80 = 666.

It is a super-3 number, since 3×13509175680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190270045 + ... + 190270115.

It is an arithmetic number, because the mean of its divisors is an integer number (42732900).

Almost surely, 2^13509175680 is an apocalyptic number.

13509175680 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 13509175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818867200).

13509175680 is an abundant number, since it is smaller than the sum of its proper divisors (52128558720).

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

13509175680 is a wasteful number, since it uses less digits than its factorization.

13509175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 13509175680 in words is "thirteen billion, five hundred nine million, one hundred seventy-five thousand, six hundred eighty".