21818280960 has 528 divisors, whose sum is σ = 90225537120. Its totient is φ = 4985487360.

The previous prime is 21818280943. The next prime is 21818280983. The reversal of 21818280960 is 6908281812.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6772150 + ... + 6775370.

Almost surely, 2^21818280960 is an apocalyptic number.

21818280960 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 21818280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45112768560).

21818280960 is an abundant number, since it is smaller than the sum of its proper divisors (68407256160).

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

21818280960 is a wasteful number, since it uses less digits than its factorization.

21818280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 21818280960 in words is "twenty-one billion, eight hundred eighteen million, two hundred eighty thousand, nine hundred sixty".