21852912489264 has 320 divisors, whose sum is σ = 68323798425600. Its totient is φ = 6667063603200.

The previous prime is 21852912489259. The next prime is 21852912489307. The reversal of 21852912489264 is 46298421925812.

21852912489264 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 2 + 91 + 2 + 489 + 2 + 64 = 666.

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 63 ways as a sum of consecutive naturals, for example, 27014844 + ... + 27812004.

It is an arithmetic number, because the mean of its divisors is an integer number (213511870080).

Almost surely, 2^{21852912489264} is an apocalyptic number.

21852912489264 is a gapful number since it is divisible by the number (24) 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 21852912489264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34161899212800).

21852912489264 is an abundant number, since it is smaller than the sum of its proper divisors (46470885936336).

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

21852912489264 is a wasteful number, since it uses less digits than its factorization.

21852912489264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797321 (or 797309 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 21852912489264 in words is "twenty-one trillion, eight hundred fifty-two billion, nine hundred twelve million, four hundred eighty-nine thousand, two hundred sixty-four".