21985095168 has 200 divisors, whose sum is σ = 69075865320. Its totient is φ = 6942412800.

The previous prime is 21985095163. The next prime is 21985095221. The reversal of 21985095168 is 86159058912.

21985095168 is a `hidden beast` number, since 21 + 9 + 8 + 509 + 51 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21985095161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 774018 + ... + 801918.

Almost surely, 2^21985095168 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 21985095168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34537932660).

21985095168 is an abundant number, since it is smaller than the sum of its proper divisors (47090770152).

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

21985095168 is an equidigital number, since it uses as much as digits as its factorization.

21985095168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27950 (or 27925 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 21985095168 in words is "twenty-one billion, nine hundred eighty-five million, ninety-five thousand, one hundred sixty-eight".