19416382272 has 252 divisors, whose sum is σ = 65735106528. Its totient is φ = 5367513600.

The previous prime is 19416382253. The next prime is 19416382273. The reversal of 19416382272 is 27228361491.

19416382272 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 638 + 2 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19416382273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3872247 + ... + 3877257.

Almost surely, 2^19416382272 is an apocalyptic number.

19416382272 is a gapful number since it is divisible by the number (12) 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 19416382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32867553264).

19416382272 is an abundant number, since it is smaller than the sum of its proper divisors (46318724256).

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

19416382272 is a wasteful number, since it uses less digits than its factorization.

19416382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5054 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 19416382272 in words is "nineteen billion, four hundred sixteen million, three hundred eighty-two thousand, two hundred seventy-two".