19789144128 has 448 divisors, whose sum is σ = 65444055040. Its totient is φ = 5822668800.

The previous prime is 19789144127. The next prime is 19789144169. The reversal of 19789144128 is 82144198791.

19789144128 is a `hidden beast` number, since 1 + 97 + 8 + 91 + 441 + 28 = 666.

It is a super-2 number, since 2×19789144128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19789144127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109332198 + ... + 109332378.

It is an arithmetic number, because the mean of its divisors is an integer number (146080480).

Almost surely, 2^19789144128 is an apocalyptic number.

19789144128 is a gapful number since it is divisible by the number (18) 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 19789144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32722027520).

19789144128 is an abundant number, since it is smaller than the sum of its proper divisors (45654910912).

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

19789144128 is a wasteful number, since it uses less digits than its factorization.

19789144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 19789144128 in words is "nineteen billion, seven hundred eighty-nine million, one hundred forty-four thousand, one hundred twenty-eight".