16085616965120 has 160 divisors (see below), whose sum is σ = 39231387914400. Its totient is φ = 6323592626176.

The previous prime is 16085616965107. The next prime is 16085616965129. The reversal of 16085616965120 is 2156961658061.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×16085616965120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16085616965129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 727548626 + ... + 727570734.

It is an arithmetic number, because the mean of its divisors is an integer number (245196174465).

Almost surely, 2^{16085616965120} is an apocalyptic number.

16085616965120 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 16085616965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19615693957200).

16085616965120 is an abundant number, since it is smaller than the sum of its proper divisors (23145770949280).

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

16085616965120 is an equidigital number, since it uses as much as digits as its factorization.

16085616965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27008 (or 26992 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 56.

The spelling of 16085616965120 in words is "sixteen trillion, eighty-five billion, six hundred sixteen million, nine hundred sixty-five thousand, one hundred twenty".