13860840960 has 320 divisors, whose sum is σ = 49653964800. Its totient is φ = 3664797696.

The previous prime is 13860840943. The next prime is 13860840967. The reversal of 13860840960 is 6904806831.

13860840960 is a `hidden beast` number, since 1 + 38 + 608 + 4 + 0 + 9 + 6 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13860840967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8777451 + ... + 8779029.

It is an arithmetic number, because the mean of its divisors is an integer number (155168640).

Almost surely, 2^13860840960 is an apocalyptic number.

13860840960 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 13860840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24826982400).

13860840960 is an abundant number, since it is smaller than the sum of its proper divisors (35793123840).

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

13860840960 is a wasteful number, since it uses less digits than its factorization.

13860840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13860840960 in words is "thirteen billion, eight hundred sixty million, eight hundred forty thousand, nine hundred sixty".