19129264128 has 576 divisors, whose sum is σ = 64746864000. Its totient is φ = 5566758912.

The previous prime is 19129264111. The next prime is 19129264139. The reversal of 19129264128 is 82146292191.

It is a happy number.

19129264128 is a `hidden beast` number, since 191 + 29 + 26 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 214935508 + ... + 214935596.

It is an arithmetic number, because the mean of its divisors is an integer number (112407750).

Almost surely, 2^19129264128 is an apocalyptic number.

19129264128 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 19129264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32373432000).

19129264128 is an abundant number, since it is smaller than the sum of its proper divisors (45617599872).

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

19129264128 is a wasteful number, since it uses less digits than its factorization.

19129264128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 19129264128 in words is "nineteen billion, one hundred twenty-nine million, two hundred sixty-four thousand, one hundred twenty-eight".