13026060432 has 720 divisors, whose sum is σ = 49771725120. Its totient is φ = 3161410560.

The previous prime is 13026060427. The next prime is 13026060473. The reversal of 13026060432 is 23406062031.

13026060432 is a `hidden beast` number, since 1 + 3 + 0 + 26 + 0 + 604 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13026060396 and 13026060405.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 178439148 + ... + 178439220.

It is an arithmetic number, because the mean of its divisors is an integer number (69127396).

Almost surely, 2^13026060432 is an apocalyptic number.

13026060432 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 13026060432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24885862560).

13026060432 is an abundant number, since it is smaller than the sum of its proper divisors (36745664688).

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

13026060432 is a wasteful number, since it uses less digits than its factorization.

13026060432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13026060432 in words is "thirteen billion, twenty-six million, sixty thousand, four hundred thirty-two".