16444252160 has 224 divisors, whose sum is σ = 45710929152. Its totient is φ = 5562040320.

The previous prime is 16444252159. The next prime is 16444252207. The reversal of 16444252160 is 6125244461.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 16444252160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23797415 + ... + 23798105.

It is an arithmetic number, because the mean of its divisors is an integer number (204066648).

Almost surely, 2^16444252160 is an apocalyptic number.

16444252160 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 16444252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855464576).

16444252160 is an abundant number, since it is smaller than the sum of its proper divisors (29266676992).

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

16444252160 is an frugal number, since it uses more digits than its factorization.

16444252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 16444252160 in words is "sixteen billion, four hundred forty-four million, two hundred fifty-two thousand, one hundred sixty".