19229958272 has 216 divisors, whose sum is σ = 47804030685. Its totient is φ = 7681314816.

The previous prime is 19229958271. The next prime is 19229958277. The reversal of 19229958272 is 27285992291.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 17599736896 + 1630221376 = 132664^2 + 40376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=98056.

It is a super-3 number, since 3×19229958272³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (19229958271) 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 26 ways as a sum of consecutive naturals, for example, 186698573 + ... + 186698675.

Almost surely, 2^19229958272 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 19229958272

19229958272 is an abundant number, since it is smaller than the sum of its proper divisors (28574072413).

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

19229958272 is an equidigital number, since it uses as much as digits as its factorization.

19229958272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 129 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 56.

The spelling of 19229958272 in words is "nineteen billion, two hundred twenty-nine million, nine hundred fifty-eight thousand, two hundred seventy-two".