105489864480000 has 2880 divisors, whose sum is σ = 473523348824064. Its totient is φ = 20127744000000.

The previous prime is 105489864479981. The next prime is 105489864480001. The reversal of 105489864480000 is 84468984501.

It is a happy number.

It is a super-2 number, since 2×105489864480000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105489864480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 115795679545 + ... + 115795680455.

Almost surely, 2^{105489864480000} is an apocalyptic number.

105489864480000 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 105489864480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236761674412032).

105489864480000 is an abundant number, since it is smaller than the sum of its proper divisors (368033484344064).

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

105489864480000 is a wasteful number, since it uses less digits than its factorization.

105489864480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 105489864480000 in words is "one hundred five trillion, four hundred eighty-nine billion, eight hundred sixty-four million, four hundred eighty thousand".