21642081747552 has 288 divisors, whose sum is σ = 71843561846784. Its totient is φ = 6051024000000.

The previous prime is 21642081747527. The next prime is 21642081747569. The reversal of 21642081747552 is 25574718024612.

21642081747552 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 2 + 0 + 81 + 7 + 4 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 961816302 + ... + 961838802.

It is an arithmetic number, because the mean of its divisors is an integer number (249456811968).

Almost surely, 2^{21642081747552} 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 21642081747552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35921780923392).

21642081747552 is an abundant number, since it is smaller than the sum of its proper divisors (50201480099232).

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

21642081747552 is a wasteful number, since it uses less digits than its factorization.

21642081747552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32722 (or 32711 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 21642081747552 in words is "twenty-one trillion, six hundred forty-two billion, eighty-one million, seven hundred forty-seven thousand, five hundred fifty-two".