13665387960 has 512 divisors, whose sum is σ = 53850931200. Its totient is φ = 3017710080.

The previous prime is 13665387947. The next prime is 13665388013. The reversal of 13665387960 is 6978356631.

13665387960 is a `hidden beast` number, since 1 + 36 + 6 + 538 + 79 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13665387897 and 13665387906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41284995 + ... + 41285325.

It is an arithmetic number, because the mean of its divisors is an integer number (105177600).

Almost surely, 2^13665387960 is an apocalyptic number.

13665387960 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 13665387960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26925465600).

13665387960 is an abundant number, since it is smaller than the sum of its proper divisors (40185543240).

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

13665387960 is a wasteful number, since it uses less digits than its factorization.

13665387960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13665387960 in words is "thirteen billion, six hundred sixty-five million, three hundred eighty-seven thousand, nine hundred sixty".