19020688272 has 200 divisors, whose sum is σ = 59867670456. Its totient is φ = 5805748224.

The previous prime is 19020688237. The next prime is 19020688301. The reversal of 19020688272 is 27288602091.

It can be written as a sum of positive squares in 4 ways, for example, as 3941830656 + 15078857616 = 62784^2 + 122796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803518 + ... + 826850.

Almost surely, 2^19020688272 is an apocalyptic number.

19020688272 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 19020688272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29933835228).

19020688272 is an abundant number, since it is smaller than the sum of its proper divisors (40846982184).

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

19020688272 is a wasteful number, since it uses less digits than its factorization.

19020688272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23407 (or 23392 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 19020688272 in words is "nineteen billion, twenty million, six hundred eighty-eight thousand, two hundred seventy-two".