13501363680 has 288 divisors, whose sum is σ = 52894296000. Its totient is φ = 3072024576.

The previous prime is 13501363669. The next prime is 13501363693. The reversal of 13501363680 is 8636310531.

It is a happy number.

13501363680 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 13 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305396 + ... + 2311244.

It is an arithmetic number, because the mean of its divisors is an integer number (183660750).

Almost surely, 2^13501363680 is an apocalyptic number.

13501363680 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 13501363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447148000).

13501363680 is an abundant number, since it is smaller than the sum of its proper divisors (39392932320).

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

13501363680 is a wasteful number, since it uses less digits than its factorization.

13501363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13501363680 in words is "thirteen billion, five hundred one million, three hundred sixty-three thousand, six hundred eighty".