13986631680 has 416 divisors, whose sum is σ = 54181695744. Its totient is φ = 3007315968.

The previous prime is 13986631679. The next prime is 13986631717. The reversal of 13986631680 is 8613668931.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7310404 + ... + 7312316.

Almost surely, 2^13986631680 is an apocalyptic number.

13986631680 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 13986631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27090847872).

13986631680 is an abundant number, since it is smaller than the sum of its proper divisors (40195064064).

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

13986631680 is a wasteful number, since it uses less digits than its factorization.

13986631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 13986631680 in words is "thirteen billion, nine hundred eighty-six million, six hundred thirty-one thousand, six hundred eighty".