13886864174260 has 384 divisors, whose sum is σ = 37771755356160. Its totient is φ = 4161991680000.

The previous prime is 13886864174257. The next prime is 13886864174269. The reversal of 13886864174260 is 6247146868831.

It is a junction number, because it is equal to n+sod(n) for n = 13886864174192 and 13886864174201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13886864174269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5486709195 + ... + 5486711725.

It is an arithmetic number, because the mean of its divisors is an integer number (98363946240).

Almost surely, 2^{13886864174260} is an apocalyptic number.

13886864174260 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 13886864174260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18885877678080).

13886864174260 is an abundant number, since it is smaller than the sum of its proper divisors (23884891181900).

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

13886864174260 is a wasteful number, since it uses less digits than its factorization.

13886864174260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 13886864174260 in words is "thirteen trillion, eight hundred eighty-six billion, eight hundred sixty-four million, one hundred seventy-four thousand, two hundred sixty".