225544075680 has 1152 divisors, whose sum is σ = 973975726080. Its totient is φ = 43249704960.

The previous prime is 225544075649. The next prime is 225544075681. The reversal of 225544075680 is 86570445522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (225544075681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172565587 + ... + 172566893.

It is an arithmetic number, because the mean of its divisors is an integer number (845465040).

Almost surely, 2^225544075680 is an apocalyptic number.

225544075680 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 225544075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486987863040).

225544075680 is an abundant number, since it is smaller than the sum of its proper divisors (748431650400).

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

225544075680 is a wasteful number, since it uses less digits than its factorization.

225544075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 225544075680 in words is "two hundred twenty-five billion, five hundred forty-four million, seventy-five thousand, six hundred eighty".