13530216672 has 384 divisors, whose sum is σ = 46419609600. Its totient is φ = 3801530880.

The previous prime is 13530216599. The next prime is 13530216701. The reversal of 13530216672 is 27661203531.

13530216672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 63 ways as a sum of consecutive naturals, for example, 34781854 + ... + 34782242.

It is an arithmetic number, because the mean of its divisors is an integer number (120884400).

Almost surely, 2^13530216672 is an apocalyptic number.

13530216672 is a gapful number since it is divisible by the number (12) 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 13530216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23209804800).

13530216672 is an abundant number, since it is smaller than the sum of its proper divisors (32889392928).

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

13530216672 is an frugal number, since it uses more digits than its factorization.

13530216672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13530216672 in words is "thirteen billion, five hundred thirty million, two hundred sixteen thousand, six hundred seventy-two".