21805148160 has 672 divisors, whose sum is σ = 82498590720. Its totient is φ = 5518098432.

The previous prime is 21805148159. The next prime is 21805148161. The reversal of 21805148160 is 6184150812.

21805148160 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 514 + 81 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (21805148159) and next prime (21805148161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21805148161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 171694017 + ... + 171694143.

It is an arithmetic number, because the mean of its divisors is an integer number (122765760).

Almost surely, 2^21805148160 is an apocalyptic number.

21805148160 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 21805148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41249295360).

21805148160 is an abundant number, since it is smaller than the sum of its proper divisors (60693442560).

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

21805148160 is an equidigital number, since it uses as much as digits as its factorization.

21805148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 21805148160 its reverse (6184150812), we get a palindrome (27989298972).

The spelling of 21805148160 in words is "twenty-one billion, eight hundred five million, one hundred forty-eight thousand, one hundred sixty".