20832225363328 has 64 divisors (see below), whose sum is σ = 42044517504000. Its totient is φ = 10279985564160.

The previous prime is 20832225363311. The next prime is 20832225363331. The reversal of 20832225363328 is 82336352223802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×20832225363328³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23952793 + ... + 24807271.

It is an arithmetic number, because the mean of its divisors is an integer number (656945586000).

Almost surely, 2^{20832225363328} 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 20832225363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022258752000).

20832225363328 is an abundant number, since it is smaller than the sum of its proper divisors (21212292140672).

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

20832225363328 is an equidigital number, since it uses as much as digits as its factorization.

20832225363328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856983 (or 856971 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 20832225363328 in words is "twenty trillion, eight hundred thirty-two billion, two hundred twenty-five million, three hundred sixty-three thousand, three hundred twenty-eight".