225655136280 has 576 divisors, whose sum is σ = 917444586240. Its totient is φ = 48858349824.

The previous prime is 225655136243. The next prime is 225655136321. The reversal of 225655136280 is 82631556522.

225655136280 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 5 + 5 + 13 + 628 + 0 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24557847 + ... + 24567033.

It is an arithmetic number, because the mean of its divisors is an integer number (1592785740).

Almost surely, 2^225655136280 is an apocalyptic number.

225655136280 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 225655136280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458722293120).

225655136280 is an abundant number, since it is smaller than the sum of its proper divisors (691789449960).

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

225655136280 is a wasteful number, since it uses less digits than its factorization.

225655136280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 225655136280 in words is "two hundred twenty-five billion, six hundred fifty-five million, one hundred thirty-six thousand, two hundred eighty".