13828284113760 has 2160 divisors, whose sum is σ = 56490929155584. Its totient is φ = 3173909889024.

The previous prime is 13828284113747. The next prime is 13828284113789. The reversal of 13828284113760 is 6731148282831.

13828284113760 is a `hidden beast` number, since 1 + 3 + 82 + 82 + 8 + 411 + 3 + 76 + 0 = 666.

13828284113760 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 (2160).

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 = 13828284113697 and 13828284113706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 108884126817 + ... + 108884126943.

Almost surely, 2^{13828284113760} is an apocalyptic number.

13828284113760 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 13828284113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28245464577792).

13828284113760 is an abundant number, since it is smaller than the sum of its proper divisors (42662645041824).

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

13828284113760 is a wasteful number, since it uses less digits than its factorization.

13828284113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13828284113760 in words is "thirteen trillion, eight hundred twenty-eight billion, two hundred eighty-four million, one hundred thirteen thousand, seven hundred sixty".