22027844160 has 448 divisors, whose sum is σ = 90635328000. Its totient is φ = 5034258432.

The previous prime is 22027844149. The next prime is 22027844171. The reversal of 22027844160 is 6144872022.

22027844160 is a `hidden beast` number, since 2 + 202 + 7 + 8 + 441 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22027844149) and next prime (22027844171).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×22027844160² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2959804 + ... + 2967236.

It is an arithmetic number, because the mean of its divisors is an integer number (202311000).

Almost surely, 2^22027844160 is an apocalyptic number.

22027844160 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 22027844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45317664000).

22027844160 is an abundant number, since it is smaller than the sum of its proper divisors (68607483840).

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

22027844160 is an equidigital number, since it uses as much as digits as its factorization.

22027844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 22027844160 in words is "twenty-two billion, twenty-seven million, eight hundred forty-four thousand, one hundred sixty".