13888519680 has 320 divisors, whose sum is σ = 53417295360. Its totient is φ = 3007217664.

The previous prime is 13888519669. The next prime is 13888519741. The reversal of 13888519680 is 8691588831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 13888519680.

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, 1014642 + ... + 1028238.

It is an arithmetic number, because the mean of its divisors is an integer number (166929048).

Almost surely, 2^13888519680 is an apocalyptic number.

13888519680 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 13888519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26708647680).

13888519680 is an abundant number, since it is smaller than the sum of its proper divisors (39528775680).

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

13888519680 is a wasteful number, since it uses less digits than its factorization.

13888519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13649 (or 13633 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 13888519680 in words is "thirteen billion, eight hundred eighty-eight million, five hundred nineteen thousand, six hundred eighty".