19112730624 has 672 divisors, whose sum is σ = 67597568640. Its totient is φ = 5294260224.

The previous prime is 19112730599. The next prime is 19112730643. The reversal of 19112730624 is 42603721191.

19112730624 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 27 + 3 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830988277 + ... + 830988299.

It is an arithmetic number, because the mean of its divisors is an integer number (100591620).

Almost surely, 2^19112730624 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 19112730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33798784320).

19112730624 is an abundant number, since it is smaller than the sum of its proper divisors (48484838016).

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

19112730624 is a wasteful number, since it uses less digits than its factorization.

19112730624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19112730624 in words is "nineteen billion, one hundred twelve million, seven hundred thirty thousand, six hundred twenty-four".