13530795534080 has 216 divisors, whose sum is σ = 35701221615696. Its totient is φ = 4909727088640.

The previous prime is 13530795534041. The next prime is 13530795534107. The reversal of 13530795534080 is 8043559703531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72235424 + ... + 72422496.

It is an arithmetic number, because the mean of its divisors is an integer number (165283433406).

Almost surely, 2^{13530795534080} is an apocalyptic number.

13530795534080 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 13530795534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850610807848).

13530795534080 is an abundant number, since it is smaller than the sum of its proper divisors (22170426081616).

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

13530795534080 is a wasteful number, since it uses less digits than its factorization.

13530795534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187583 (or 187558 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 53.

The spelling of 13530795534080 in words is "thirteen trillion, five hundred thirty billion, seven hundred ninety-five million, five hundred thirty-four thousand, eighty".