19129729142784 has 416 divisors, whose sum is σ = 56891103453184. Its totient is φ = 5677191659520.

The previous prime is 19129729142767. The next prime is 19129729142803. The reversal of 19129729142784 is 48724192792191.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520277357 + ... + 1520289939.

It is an arithmetic number, because the mean of its divisors is an integer number (136757460224).

Almost surely, 2^{19129729142784} 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 19129729142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28445551726592).

19129729142784 is an abundant number, since it is smaller than the sum of its proper divisors (37761374310400).

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

19129729142784 is a wasteful number, since it uses less digits than its factorization.

19129729142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12961 (or 12939 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 66.

The spelling of 19129729142784 in words is "nineteen trillion, one hundred twenty-nine billion, seven hundred twenty-nine million, one hundred forty-two thousand, seven hundred eighty-four".