19196835128064 has 1080 divisors, whose sum is σ = 66118703836416. Its totient is φ = 5524941312000.

The previous prime is 19196835128057. The next prime is 19196835128123. The reversal of 19196835128064 is 46082153869191.

19196835128064 is a `hidden beast` number, since 1 + 91 + 9 + 68 + 351 + 2 + 80 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19196835127992 and 19196835128010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8713950387 + ... + 8713952589.

Almost surely, 2^{19196835128064} 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 19196835128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33059351918208).

19196835128064 is an abundant number, since it is smaller than the sum of its proper divisors (46921868708352).

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

19196835128064 is a wasteful number, since it uses less digits than its factorization.

19196835128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 19196835128064 in words is "nineteen trillion, one hundred ninety-six billion, eight hundred thirty-five million, one hundred twenty-eight thousand, sixty-four".