225580267008 has 640 divisors, whose sum is σ = 744102374400. Its totient is φ = 67990855680.

The previous prime is 225580266983. The next prime is 225580267049. The reversal of 225580267008 is 800762085522.

225580267008 is a `hidden beast` number, since 2 + 2 + 5 + 580 + 2 + 67 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489327898 + ... + 489328358.

It is an arithmetic number, because the mean of its divisors is an integer number (1162659960).

Almost surely, 2^225580267008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225580267008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372051187200).

225580267008 is an abundant number, since it is smaller than the sum of its proper divisors (518522107392).

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

225580267008 is an frugal number, since it uses more digits than its factorization.

225580267008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 508 counting only the distinct ones).

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

The spelling of 225580267008 in words is "two hundred twenty-five billion, five hundred eighty million, two hundred sixty-seven thousand, eight".