13259544672 has 384 divisors, whose sum is σ = 41816839680. Its totient is φ = 3633315840.

The previous prime is 13259544667. The next prime is 13259544673. The reversal of 13259544672 is 27644595231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13259544673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68702208 + ... + 68702400.

It is an arithmetic number, because the mean of its divisors is an integer number (108898020).

Almost surely, 2^13259544672 is an apocalyptic number.

13259544672 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 13259544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908419840).

13259544672 is an abundant number, since it is smaller than the sum of its proper divisors (28557295008).

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

13259544672 is a wasteful number, since it uses less digits than its factorization.

13259544672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 13259544672 in words is "thirteen billion, two hundred fifty-nine million, five hundred forty-four thousand, six hundred seventy-two".