21852039168 has 192 divisors, whose sum is σ = 66967992000. Its totient is φ = 7032324096.

The previous prime is 21852039163. The next prime is 21852039199. The reversal of 21852039168 is 86193025812.

21852039168 is a `hidden beast` number, since 2 + 185 + 20 + 391 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×21852039168² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21852039163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596771 + ... + 1610397.

It is an arithmetic number, because the mean of its divisors is an integer number (348791625).

Almost surely, 2^21852039168 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 21852039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33483996000).

21852039168 is an abundant number, since it is smaller than the sum of its proper divisors (45115952832).

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

21852039168 is a wasteful number, since it uses less digits than its factorization.

21852039168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687 (or 13661 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 21852039168 in words is "twenty-one billion, eight hundred fifty-two million, thirty-nine thousand, one hundred sixty-eight".