225661887360 has 2304 divisors, whose sum is σ = 1072473696000. Its totient is φ = 44562825216.

The previous prime is 225661887349. The next prime is 225661887377. The reversal of 225661887360 is 63788166522.

225661887360 is a `hidden beast` number, since 2 + 2 + 566 + 1 + 8 + 8 + 73 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225661887297 and 225661887306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2718817879 + ... + 2718817961.

It is an arithmetic number, because the mean of its divisors is an integer number (465483375).

Almost surely, 2^225661887360 is an apocalyptic number.

225661887360 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 225661887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536236848000).

225661887360 is an abundant number, since it is smaller than the sum of its proper divisors (846811808640).

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

225661887360 is a wasteful number, since it uses less digits than its factorization.

225661887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 225661887360 in words is "two hundred twenty-five billion, six hundred sixty-one million, eight hundred eighty-seven thousand, three hundred sixty".