13658580381260 has 96 divisors (see below), whose sum is σ = 31146334410240. Its totient is φ = 5010939084800.

The previous prime is 13658580381227. The next prime is 13658580381263. The reversal of 13658580381260 is 6218308585631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13658580381196 and 13658580381205.

It is not an unprimeable number, because it can be changed into a prime (13658580381263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11725061 + ... + 12837219.

It is an arithmetic number, because the mean of its divisors is an integer number (324440983440).

Almost surely, 2^{13658580381260} is an apocalyptic number.

13658580381260 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 13658580381260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573167205120).

13658580381260 is an abundant number, since it is smaller than the sum of its proper divisors (17487754028980).

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

13658580381260 is a wasteful number, since it uses less digits than its factorization.

13658580381260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113107 (or 1113105 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 13658580381260 in words is "thirteen trillion, six hundred fifty-eight billion, five hundred eighty million, three hundred eighty-one thousand, two hundred sixty".