13005860867380 has 96 divisors (see below), whose sum is σ = 29117555712000. Its totient is φ = 4865508984960.

The previous prime is 13005860867359. The next prime is 13005860867387. The reversal of 13005860867380 is 8376806850031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005860867387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270486181 + ... + 270534259.

It is an arithmetic number, because the mean of its divisors is an integer number (303307872000).

Almost surely, 2^{13005860867380} is an apocalyptic number.

13005860867380 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 13005860867380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558777856000).

13005860867380 is an abundant number, since it is smaller than the sum of its proper divisors (16111694844620).

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

13005860867380 is a wasteful number, since it uses less digits than its factorization.

13005860867380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57197 (or 57195 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 13005860867380 in words is "thirteen trillion, five billion, eight hundred sixty million, eight hundred sixty-seven thousand, three hundred eighty".