21952263168 has 704 divisors, whose sum is σ = 77818752000. Its totient is φ = 6038323200.

The previous prime is 21952263161. The next prime is 21952263169. The reversal of 21952263168 is 86136225912.

21952263168 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 2 + 2 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21952263161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167574463 + ... + 167574593.

It is an arithmetic number, because the mean of its divisors is an integer number (110538000).

Almost surely, 2^21952263168 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 21952263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38909376000).

21952263168 is an abundant number, since it is smaller than the sum of its proper divisors (55866488832).

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

21952263168 is a wasteful number, since it uses less digits than its factorization.

21952263168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 21952263168 in words is "twenty-one billion, nine hundred fifty-two million, two hundred sixty-three thousand, one hundred sixty-eight".