13680988128 has 120 divisors (see below), whose sum is σ = 40634553960. Its totient is φ = 4515091200.

The previous prime is 13680988127. The next prime is 13680988141. The reversal of 13680988128 is 82188908631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680988127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 235663 + ... + 287921.

It is an arithmetic number, because the mean of its divisors is an integer number (338621283).

Almost surely, 2^13680988128 is an apocalyptic number.

13680988128 is a gapful number since it is divisible by the number (18) 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 13680988128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20317276980).

13680988128 is an abundant number, since it is smaller than the sum of its proper divisors (26953565832).

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

13680988128 is a wasteful number, since it uses less digits than its factorization.

13680988128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52382 (or 52365 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 13680988128 in words is "thirteen billion, six hundred eighty million, nine hundred eighty-eight thousand, one hundred twenty-eight".