16443619920 has 1920 divisors, whose sum is σ = 81219801600. Its totient is φ = 3009871872.

The previous prime is 16443619909. The next prime is 16443619967. The reversal of 16443619920 is 2991634461.

16443619920 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 3 + 619 + 9 + 20 = 666.

16443619920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16443619920³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 444422142 + ... + 444422178.

It is an arithmetic number, because the mean of its divisors is an integer number (42301980).

Almost surely, 2^16443619920 is an apocalyptic number.

16443619920 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 16443619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40609900800).

16443619920 is an abundant number, since it is smaller than the sum of its proper divisors (64776181680).

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

16443619920 is a wasteful number, since it uses less digits than its factorization.

16443619920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 16443619920 in words is "sixteen billion, four hundred forty-three million, six hundred nineteen thousand, nine hundred twenty".