22252060800 has 360 divisors, whose sum is σ = 82396210215. Its totient is φ = 5913630720.

The previous prime is 22252060793. The next prime is 22252060811. The reversal of 22252060800 is 806025222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22252060800 is a `hidden beast` number, since 2 + 2 + 2 + 52 + 0 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 19249897536 + 3002163264 = 138744^2 + 54792^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105480.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 75945454 + ... + 75945746.

Almost surely, 2^22252060800 is an apocalyptic number.

22252060800 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 22252060800

22252060800 is an abundant number, since it is smaller than the sum of its proper divisors (60144149415).

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

22252060800 is an frugal number, since it uses more digits than its factorization.

22252060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 22252060800 in words is "twenty-two billion, two hundred fifty-two million, sixty thousand, eight hundred".