19380361728 has 320 divisors, whose sum is σ = 64615364352. Its totient is φ = 5025300480.

The previous prime is 19380361717. The next prime is 19380361753. The reversal of 19380361728 is 82716308391.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 8525200 + ... + 8527472.

Almost surely, 2^19380361728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19380361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32307682176).

19380361728 is an abundant number, since it is smaller than the sum of its proper divisors (45235002624).

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

19380361728 is a wasteful number, since it uses less digits than its factorization.

19380361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 19380361728 in words is "nineteen billion, three hundred eighty million, three hundred sixty-one thousand, seven hundred twenty-eight".