225556289280 has 576 divisors, whose sum is σ = 918037908480. Its totient is φ = 51370868736.

The previous prime is 225556289239. The next prime is 225556289297. The reversal of 225556289280 is 82982655522.

225556289280 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 5 + 628 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74267922 + ... + 74270958.

Almost surely, 2^225556289280 is an apocalyptic number.

225556289280 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 225556289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459018954240).

225556289280 is an abundant number, since it is smaller than the sum of its proper divisors (692481619200).

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

225556289280 is a wasteful number, since it uses less digits than its factorization.

225556289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 225556289280 in words is "two hundred twenty-five billion, five hundred fifty-six million, two hundred eighty-nine thousand, two hundred eighty".