13821675356160 has 2400 divisors, whose sum is σ = 60655837777920. Its totient is φ = 2942985830400.

The previous prime is 13821675356143. The next prime is 13821675356257. The reversal of 13821675356160 is 6165357612831.

13821675356160 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 1 + 6 + 75 + 3 + 561 + 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 = 13821675356097 and 13821675356106.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41757327195 + ... + 41757327525.

Almost surely, 2^{13821675356160} is an apocalyptic number.

13821675356160 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 13821675356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30327918888960).

13821675356160 is an abundant number, since it is smaller than the sum of its proper divisors (46834162421760).

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

13821675356160 is an equidigital number, since it uses as much as digits as its factorization.

13821675356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13821675356160 in words is "thirteen trillion, eight hundred twenty-one billion, six hundred seventy-five million, three hundred fifty-six thousand, one hundred sixty".