22382408880 has 480 divisors, whose sum is σ = 85967831040. Its totient is φ = 5173217280.

The previous prime is 22382408863. The next prime is 22382408897. The reversal of 22382408880 is 8880428322.

It is a happy number.

22382408880 is a `hidden beast` number, since 2 + 238 + 2 + 408 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22382408863) and next prime (22382408897).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22585185 + ... + 22586175.

It is an arithmetic number, because the mean of its divisors is an integer number (179099648).

Almost surely, 2^22382408880 is an apocalyptic number.

22382408880 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 22382408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42983915520).

22382408880 is an abundant number, since it is smaller than the sum of its proper divisors (63585422160).

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

22382408880 is a wasteful number, since it uses less digits than its factorization.

22382408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 22382408880 in words is "twenty-two billion, three hundred eighty-two million, four hundred eight thousand, eight hundred eighty".