13646027828160 has 2352 divisors, whose sum is σ = 61587002629152. Its totient is φ = 2853107712000.

The previous prime is 13646027828149. The next prime is 13646027828231. The reversal of 13646027828160 is 6182872064631.

It is a happy number.

13646027828160 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 602 + 7 + 8 + 28 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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 = 13646027828097 and 13646027828106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19466515810 + ... + 19466516510.

Almost surely, 2^{13646027828160} is an apocalyptic number.

13646027828160 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 13646027828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30793501314576).

13646027828160 is an abundant number, since it is smaller than the sum of its proper divisors (47940974800992).

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

13646027828160 is a wasteful number, since it uses less digits than its factorization.

13646027828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13646027828160 in words is "thirteen trillion, six hundred forty-six billion, twenty-seven million, eight hundred twenty-eight thousand, one hundred sixty".