22725058320 has 240 divisors, whose sum is σ = 77838321600. Its totient is φ = 5939942400.

The previous prime is 22725058283. The next prime is 22725058403. The reversal of 22725058320 is 2385052722.

It is a happy number.

22725058320 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 50 + 583 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21621795 + ... + 21622845.

It is an arithmetic number, because the mean of its divisors is an integer number (324326340).

Almost surely, 2^22725058320 is an apocalyptic number.

22725058320 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 22725058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38919160800).

22725058320 is an abundant number, since it is smaller than the sum of its proper divisors (55113263280).

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

22725058320 is a wasteful number, since it uses less digits than its factorization.

22725058320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 22725058320 in words is "twenty-two billion, seven hundred twenty-five million, fifty-eight thousand, three hundred twenty".