21089832192 has 576 divisors, whose sum is σ = 77194521600. Its totient is φ = 5583790080.

The previous prime is 21089832187. The next prime is 21089832227. The reversal of 21089832192 is 29123898012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18779343 + ... + 18780465.

Almost surely, 2^21089832192 is an apocalyptic number.

21089832192 is a gapful number since it is divisible by the number (22) 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 21089832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38597260800).

21089832192 is an abundant number, since it is smaller than the sum of its proper divisors (56104689408).

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

21089832192 is a wasteful number, since it uses less digits than its factorization.

21089832192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1171 counting only the distinct ones).

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

The spelling of 21089832192 in words is "twenty-one billion, eighty-nine million, eight hundred thirty-two thousand, one hundred ninety-two".