225559033560 has 512 divisors, whose sum is σ = 890486784000. Its totient is φ = 49714269696.

The previous prime is 225559033541. The next prime is 225559033573. The reversal of 225559033560 is 65330955522.

225559033560 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 59 + 0 + 33 + 560 = 666.

225559033560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25676929 + ... + 25685711.

It is an arithmetic number, because the mean of its divisors is an integer number (1739232000).

Almost surely, 2^225559033560 is an apocalyptic number.

225559033560 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 225559033560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445243392000).

225559033560 is an abundant number, since it is smaller than the sum of its proper divisors (664927750440).

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

225559033560 is a wasteful number, since it uses less digits than its factorization.

225559033560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 225559033560 in words is "two hundred twenty-five billion, five hundred fifty-nine million, thirty-three thousand, five hundred sixty".