225169735680 has 960 divisors, whose sum is σ = 870113962080. Its totient is φ = 55674667008.

The previous prime is 225169735669. The next prime is 225169735771. The reversal of 225169735680 is 86537961522.

225169735680 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 6 + 9 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 59 ways as a sum of consecutive naturals, for example, 4790845417 + ... + 4790845463.

Almost surely, 2^225169735680 is an apocalyptic number.

225169735680 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 225169735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435056981040).

225169735680 is an abundant number, since it is smaller than the sum of its proper divisors (644944226400).

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

225169735680 is an frugal number, since it uses more digits than its factorization.

225169735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 225169735680 in words is "two hundred twenty-five billion, one hundred sixty-nine million, seven hundred thirty-five thousand, six hundred eighty".