19731382272 has 476 divisors, whose sum is σ = 68765089440. Its totient is φ = 5541986304.

The previous prime is 19731382271. The next prime is 19731382277. The reversal of 19731382272 is 27228313791.

19731382272 is a `hidden beast` number, since 197 + 313 + 82 + 2 + 72 = 666.

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 (19731382271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 334430179 + ... + 334430237.

Almost surely, 2^19731382272 is an apocalyptic number.

19731382272 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 19731382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34382544720).

19731382272 is an abundant number, since it is smaller than the sum of its proper divisors (49033707168).

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

19731382272 is an frugal number, since it uses more digits than its factorization.

19731382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 19731382272 in words is "nineteen billion, seven hundred thirty-one million, three hundred eighty-two thousand, two hundred seventy-two".