20192819920 has 160 divisors (see below), whose sum is σ = 57888794880. Its totient is φ = 6378946560.

The previous prime is 20192819917. The next prime is 20192819947. The reversal of 20192819920 is 2991829102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4504080 + ... + 4508560.

It is an arithmetic number, because the mean of its divisors is an integer number (361804968).

Almost surely, 2^20192819920 is an apocalyptic number.

20192819920 is a gapful number since it is divisible by the number (20) 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 20192819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28944397440).

20192819920 is an abundant number, since it is smaller than the sum of its proper divisors (37695974960).

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

20192819920 is a wasteful number, since it uses less digits than its factorization.

20192819920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 20192819920 in words is "twenty billion, one hundred ninety-two million, eight hundred nineteen thousand, nine hundred twenty".