13686865920 has 1088 divisors, whose sum is σ = 63417392640. Its totient is φ = 2717908992.

The previous prime is 13686865867. The next prime is 13686865957. The reversal of 13686865920 is 2956868631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 805109752 + ... + 805109768.

Almost surely, 2^13686865920 is an apocalyptic number.

13686865920 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 13686865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31708696320).

13686865920 is an abundant number, since it is smaller than the sum of its proper divisors (49730526720).

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

13686865920 is an equidigital number, since it uses as much as digits as its factorization.

13686865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13686865920 in words is "thirteen billion, six hundred eighty-six million, eight hundred sixty-five thousand, nine hundred twenty".