22528800000 has 864 divisors, whose sum is σ = 95806368000. Its totient is φ = 5114880000.

The previous prime is 22528799981. The next prime is 22528800083. The reversal of 22528800000 is 882522.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 151199926 + ... + 151200074.

It is an arithmetic number, because the mean of its divisors is an integer number (110887000).

Almost surely, 2^22528800000 is an apocalyptic number.

22528800000 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 22528800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47903184000).

22528800000 is an abundant number, since it is smaller than the sum of its proper divisors (73277568000).

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

22528800000 is an frugal number, since it uses more digits than its factorization.

22528800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 22528800000 in words is "twenty-two billion, five hundred twenty-eight million, eight hundred thousand".