225571288320 has 720 divisors, whose sum is σ = 941414073600. Its totient is φ = 51551023104.

The previous prime is 225571288247. The next prime is 225571288333. The reversal of 225571288320 is 23882175522.

225571288320 is a `hidden beast` number, since 2 + 2 + 557 + 12 + 8 + 83 + 2 + 0 = 666.

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

It is a super-2 number, since 2×225571288320² (a number of 24 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35559069 + ... + 35565411.

Almost surely, 2^225571288320 is an apocalyptic number.

225571288320 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 225571288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470707036800).

225571288320 is an abundant number, since it is smaller than the sum of its proper divisors (715842785280).

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

225571288320 is an frugal number, since it uses more digits than its factorization.

225571288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 225571288320 in words is "two hundred twenty-five billion, five hundred seventy-one million, two hundred eighty-eight thousand, three hundred twenty".