19229828007936 has 1152 divisors, whose sum is σ = 70720841318400. Its totient is φ = 4521496412160.

The previous prime is 19229828007911. The next prime is 19229828007947. The reversal of 19229828007936 is 63970082892291.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2347673601 + ... + 2347681791.

It is an arithmetic number, because the mean of its divisors is an integer number (61389619200).

Almost surely, 2^{19229828007936} is an apocalyptic number.

19229828007936 is a gapful number since it is divisible by the number (16) 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 19229828007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35360420659200).

19229828007936 is an abundant number, since it is smaller than the sum of its proper divisors (51491013310464).

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

19229828007936 is a wasteful number, since it uses less digits than its factorization.

19229828007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 19229828007936 in words is "nineteen trillion, two hundred twenty-nine billion, eight hundred twenty-eight million, seven thousand, nine hundred thirty-six".