19381958320 has 80 divisors (see below), whose sum is σ = 47724445440. Its totient is φ = 7304977152.

The previous prime is 19381958263. The next prime is 19381958327. The reversal of 19381958320 is 2385918391.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (19381958327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44671 + ... + 201889.

It is an arithmetic number, because the mean of its divisors is an integer number (596555568).

Almost surely, 2^19381958320 is an apocalyptic number.

19381958320 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 19381958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23862222720).

19381958320 is an abundant number, since it is smaller than the sum of its proper divisors (28342487120).

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

19381958320 is a wasteful number, since it uses less digits than its factorization.

19381958320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157322 (or 157316 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 19381958320 in words is "nineteen billion, three hundred eighty-one million, nine hundred fifty-eight thousand, three hundred twenty".