16000016160 has 96 divisors (see below), whose sum is σ = 50702101632. Its totient is φ = 4241100800.

The previous prime is 16000016093. The next prime is 16000016161. The reversal of 16000016160 is 6161000061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16000016160² (a number of 21 digits) contains 22 as substring.

16000016160 is a modest number, since divided by 16160 gives 160 as remainder.

It is not an unprimeable number, because it can be changed into a prime (16000016161) 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, 19641 + ... + 179960.

It is an arithmetic number, because the mean of its divisors is an integer number (528146892).

Almost surely, 2^16000016160 is an apocalyptic number.

16000016160 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 16000016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25351050816).

16000016160 is an abundant number, since it is smaller than the sum of its proper divisors (34702085472).

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

16000016160 is a wasteful number, since it uses less digits than its factorization.

16000016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199786 (or 199778 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 16000016160 in words is "sixteen billion, sixteen thousand, one hundred sixty".