16459873920 has 640 divisors, whose sum is σ = 68281868160. Its totient is φ = 3700629504.

The previous prime is 16459873919. The next prime is 16459873933. The reversal of 16459873920 is 2937895461.

16459873920 is a `hidden beast` number, since 16 + 4 + 598 + 7 + 39 + 2 + 0 = 666.

16459873920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 24312622 + ... + 24313298.

It is an arithmetic number, because the mean of its divisors is an integer number (106690419).

It is a 1-persistent number, because it is pandigital, but 2⋅16459873920 = 32919747840 is not.

Almost surely, 2^16459873920 is an apocalyptic number.

16459873920 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 16459873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34140934080).

16459873920 is an abundant number, since it is smaller than the sum of its proper divisors (51821994240).

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

16459873920 is an equidigital number, since it uses as much as digits as its factorization.

16459873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 16459873920 in words is "sixteen billion, four hundred fifty-nine million, eight hundred seventy-three thousand, nine hundred twenty".