13284330159672 has 512 divisors, whose sum is σ = 43687007078400. Its totient is φ = 3687258931200.

The previous prime is 13284330159601. The next prime is 13284330159673. The reversal of 13284330159672 is 27695103348231.

13284330159672 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 43 + 3 + 0 + 1 + 596 + 7 + 2 = 666.

It is a super-2 number, since 2×13284330159672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13284330159673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4999746568 + ... + 4999749224.

It is an arithmetic number, because the mean of its divisors is an integer number (85326185700).

It is a 1-persistent number, because it is pandigital, but 2⋅13284330159672 = 26568660319344 is not.

Almost surely, 2^{13284330159672} is an apocalyptic number.

13284330159672 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 13284330159672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21843503539200).

13284330159672 is an abundant number, since it is smaller than the sum of its proper divisors (30402676918728).

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

13284330159672 is a wasteful number, since it uses less digits than its factorization.

13284330159672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13284330159672 in words is "thirteen trillion, two hundred eighty-four billion, three hundred thirty million, one hundred fifty-nine thousand, six hundred seventy-two".