22821824520 has 480 divisors, whose sum is σ = 88014548160. Its totient is φ = 5289926400.

The previous prime is 22821824491. The next prime is 22821824527. The reversal of 22821824520 is 2542812822.

It is a happy number.

22821824520 is a `hidden beast` number, since 2 + 28 + 2 + 182 + 452 + 0 = 666.

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 (22821824527) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 9015655 + ... + 9018185.

It is an arithmetic number, because the mean of its divisors is an integer number (183363642).

Almost surely, 2^22821824520 is an apocalyptic number.

22821824520 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 22821824520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44007274080).

22821824520 is an abundant number, since it is smaller than the sum of its proper divisors (65192723640).

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

22821824520 is a wasteful number, since it uses less digits than its factorization.

22821824520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 22821824520 in words is "twenty-two billion, eight hundred twenty-one million, eight hundred twenty-four thousand, five hundred twenty".