19923744960 has 896 divisors, whose sum is σ = 83978496000. Its totient is φ = 4499131392.

The previous prime is 19923744947. The next prime is 19923744977. The reversal of 19923744960 is 6944732991.

19923744960 is a `hidden beast` number, since 199 + 2 + 3 + 7 + 449 + 6 + 0 = 666.

It is a super-2 number, since 2×19923744960² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19923744897 and 19923744906.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 240045079 + ... + 240045161.

It is an arithmetic number, because the mean of its divisors is an integer number (93726000).

Almost surely, 2^19923744960 is an apocalyptic number.

19923744960 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 19923744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41989248000).

19923744960 is an abundant number, since it is smaller than the sum of its proper divisors (64054751040).

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

19923744960 is an frugal number, since it uses more digits than its factorization.

19923744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 19923744960 in words is "nineteen billion, nine hundred twenty-three million, seven hundred forty-four thousand, nine hundred sixty".