13059671040 has 704 divisors, whose sum is σ = 51446841600. Its totient is φ = 3139928064.

The previous prime is 13059671039. The next prime is 13059671077. The reversal of 13059671040 is 4017695031.

13059671040 is a `hidden beast` number, since 13 + 0 + 596 + 7 + 10 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13059670986 and 13059671004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303713259 + ... + 303713301.

It is an arithmetic number, because the mean of its divisors is an integer number (73077900).

Almost surely, 2^13059671040 is an apocalyptic number.

13059671040 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 13059671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25723420800).

13059671040 is an abundant number, since it is smaller than the sum of its proper divisors (38387170560).

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

13059671040 is an equidigital number, since it uses as much as digits as its factorization.

13059671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13059671040 in words is "thirteen billion, fifty-nine million, six hundred seventy-one thousand, forty".