225885477600 has 720 divisors, whose sum is σ = 864678719520. Its totient is φ = 57306009600.

The previous prime is 225885477599. The next prime is 225885477611. The reversal of 225885477600 is 6774588522.

225885477600 is a `hidden beast` number, since 2 + 2 + 588 + 54 + 7 + 7 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 133422354 + ... + 133424046.

It is an arithmetic number, because the mean of its divisors is an integer number (1200942666).

Almost surely, 2^225885477600 is an apocalyptic number.

225885477600 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 225885477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432339359760).

225885477600 is an abundant number, since it is smaller than the sum of its proper divisors (638793241920).

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

225885477600 is a wasteful number, since it uses less digits than its factorization.

225885477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 225885477600 in words is "two hundred twenty-five billion, eight hundred eighty-five million, four hundred seventy-seven thousand, six hundred".