22554825321600 has 2304 divisors, whose sum is σ = 102327500620800. Its totient is φ = 4827241267200.

The previous prime is 22554825321559. The next prime is 22554825321607. The reversal of 22554825321600 is 612352845522.

22554825321600 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 4 + 8 + 2 + 5 + 32 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22554825321607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2557521991 + ... + 2557530809.

It is an arithmetic number, because the mean of its divisors is an integer number (44412977700).

Almost surely, 2^{22554825321600} is an apocalyptic number.

22554825321600 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 22554825321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51163750310400).

22554825321600 is an abundant number, since it is smaller than the sum of its proper divisors (79772675299200).

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

22554825321600 is a wasteful number, since it uses less digits than its factorization.

22554825321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 22554825321600 in words is "twenty-two trillion, five hundred fifty-four billion, eight hundred twenty-five million, three hundred twenty-one thousand, six hundred".