16446089038560 has 192 divisors, whose sum is σ = 52715762668800. Its totient is φ = 4308629225472.

The previous prime is 16446089038537. The next prime is 16446089038579. The reversal of 16446089038560 is 6583098064461.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 16446089038494 and 16446089038503.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45898176 + ... + 46255104.

It is an arithmetic number, because the mean of its divisors is an integer number (274561263900).

Almost surely, 2^{16446089038560} is an apocalyptic number.

16446089038560 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 16446089038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357881334400).

16446089038560 is an abundant number, since it is smaller than the sum of its proper divisors (36269673630240).

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

16446089038560 is a wasteful number, since it uses less digits than its factorization.

16446089038560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358633 (or 358625 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 16446089038560 in words is "sixteen trillion, four hundred forty-six billion, eighty-nine million, thirty-eight thousand, five hundred sixty".