19416803328 has 192 divisors, whose sum is σ = 61943918400. Its totient is φ = 5974179840.

The previous prime is 19416803303. The next prime is 19416803339. The reversal of 19416803328 is 82330861491.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705343 + ... + 732353.

It is an arithmetic number, because the mean of its divisors is an integer number (322624575).

Almost surely, 2^19416803328 is an apocalyptic number.

19416803328 is a gapful number since it is divisible by the number (18) 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 19416803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30971959200).

19416803328 is an abundant number, since it is smaller than the sum of its proper divisors (42527115072).

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

19416803328 is a wasteful number, since it uses less digits than its factorization.

19416803328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27055 (or 27029 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 19416803328 in words is "nineteen billion, four hundred sixteen million, eight hundred three thousand, three hundred twenty-eight".