13680618560 has 224 divisors, whose sum is σ = 38363542272. Its totient is φ = 4549386240.

The previous prime is 13680618547. The next prime is 13680618563. The reversal of 13680618560 is 6581608631.

13680618560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (13680618563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16662950 + ... + 16663770.

Almost surely, 2^13680618560 is an apocalyptic number.

13680618560 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 13680618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19181771136).

13680618560 is an abundant number, since it is smaller than the sum of its proper divisors (24682923712).

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

13680618560 is a wasteful number, since it uses less digits than its factorization.

13680618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 13680618560 in words is "thirteen billion, six hundred eighty million, six hundred eighteen thousand, five hundred sixty".