21189265014528 has 1728 divisors, whose sum is σ = 73436879093760. Its totient is φ = 5821009920000.

The previous prime is 21189265014503. The next prime is 21189265014611. The reversal of 21189265014528 is 82541056298112.

It is a happy number.

21189265014528 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 92 + 6 + 501 + 45 + 2 + 8 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 84419382403 + ... + 84419382653.

It is an arithmetic number, because the mean of its divisors is an integer number (42498193920).

Almost surely, 2^{21189265014528} 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 21189265014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36718439546880).

21189265014528 is an abundant number, since it is smaller than the sum of its proper divisors (52247614079232).

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

21189265014528 is a wasteful number, since it uses less digits than its factorization.

21189265014528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 21189265014528 in words is "twenty-one trillion, one hundred eighty-nine billion, two hundred sixty-five million, fourteen thousand, five hundred twenty-eight".