13986872640 has 840 divisors, whose sum is σ = 56153230848. Its totient is φ = 3299512320.

The previous prime is 13986872593. The next prime is 13986872681. The reversal of 13986872640 is 4627868931.

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 119 ways as a sum of consecutive naturals, for example, 135794829 + ... + 135794931.

Almost surely, 2^13986872640 is an apocalyptic number.

13986872640 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 13986872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28076615424).

13986872640 is an abundant number, since it is smaller than the sum of its proper divisors (42166358208).

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

13986872640 is a wasteful number, since it uses less digits than its factorization.

13986872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13986872640 in words is "thirteen billion, nine hundred eighty-six million, eight hundred seventy-two thousand, six hundred forty".