19984723200 has 486 divisors, whose sum is σ = 77406507906. Its totient is φ = 4916920320.

The previous prime is 19984723189. The next prime is 19984723259. The reversal of 19984723200 is 232748991.

It can be written as a sum of positive squares in 9 ways, for example, as 12594226176 + 7390497024 = 112224^2 + 85968^2 .

It is a super-2 number, since 2×19984723200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9733374 + ... + 9735426.

Almost surely, 2^19984723200 is an apocalyptic number.

19984723200 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 19984723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38703253953).

19984723200 is an abundant number, since it is smaller than the sum of its proper divisors (57421784706).

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

19984723200 is a wasteful number, since it uses less digits than its factorization.

19984723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19984723200 in words is "nineteen billion, nine hundred eighty-four million, seven hundred twenty-three thousand, two hundred".