13884820428960 has 1152 divisors, whose sum is σ = 56707298968320. Its totient is φ = 3177835462656.

The previous prime is 13884820428959. The next prime is 13884820429027. The reversal of 13884820428960 is 6982402848831.

13884820428960 is a `hidden beast` number, since 1 + 3 + 88 + 48 + 2 + 0 + 428 + 96 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 713166106 + ... + 713185574.

It is an arithmetic number, because the mean of its divisors is an integer number (49225085910).

Almost surely, 2^{13884820428960} is an apocalyptic number.

13884820428960 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 13884820428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28353649484160).

13884820428960 is an abundant number, since it is smaller than the sum of its proper divisors (42822478539360).

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

13884820428960 is a wasteful number, since it uses less digits than its factorization.

13884820428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19612 (or 19592 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 13884820428960 in words is "thirteen trillion, eight hundred eighty-four billion, eight hundred twenty million, four hundred twenty-eight thousand, nine hundred sixty".