21567563160 has 256 divisors, whose sum is σ = 76150609920. Its totient is φ = 4817664000.

The previous prime is 21567563141. The next prime is 21567563161. The reversal of 21567563160 is 6136576512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21567563161) 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, 17519745 + ... + 17520975.

It is an arithmetic number, because the mean of its divisors is an integer number (297463320).

Almost surely, 2^21567563160 is an apocalyptic number.

21567563160 is a gapful number since it is divisible by the number (20) 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 21567563160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38075304960).

21567563160 is an abundant number, since it is smaller than the sum of its proper divisors (54583046760).

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

21567563160 is a wasteful number, since it uses less digits than its factorization.

21567563160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 21567563160 in words is "twenty-one billion, five hundred sixty-seven million, five hundred sixty-three thousand, one hundred sixty".