21222565280 has 384 divisors, whose sum is σ = 63541739520. Its totient is φ = 6534328320.

The previous prime is 21222565277. The next prime is 21222565307. The reversal of 21222565280 is 8256522212.

It is a super-2 number, since 2×21222565280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21222565280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34962737 + ... + 34963343.

It is an arithmetic number, because the mean of its divisors is an integer number (165473280).

Almost surely, 2^21222565280 is an apocalyptic number.

21222565280 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 21222565280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31770869760).

21222565280 is an abundant number, since it is smaller than the sum of its proper divisors (42319174240).

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

21222565280 is a wasteful number, since it uses less digits than its factorization.

21222565280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 21222565280 in words is "twenty-one billion, two hundred twenty-two million, five hundred sixty-five thousand, two hundred eighty".