21328296192 has 576 divisors, whose sum is σ = 75161640960. Its totient is φ = 5840142336.

The previous prime is 21328296191. The next prime is 21328296257. The reversal of 21328296192 is 29169282312.

21328296192 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 8 + 29 + 619 + 2 = 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 not an unprimeable number, because it can be changed into a prime (21328296191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188745928 + ... + 188746040.

It is an arithmetic number, because the mean of its divisors is an integer number (130488960).

Almost surely, 2^21328296192 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 21328296192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37580820480).

21328296192 is an abundant number, since it is smaller than the sum of its proper divisors (53833344768).

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

21328296192 is a wasteful number, since it uses less digits than its factorization.

21328296192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 21328296192 in words is "twenty-one billion, three hundred twenty-eight million, two hundred ninety-six thousand, one hundred ninety-two".