225020568960 has 1536 divisors, whose sum is σ = 943110604800. Its totient is φ = 48837427200.

The previous prime is 225020568959. The next prime is 225020569009. The reversal of 225020568960 is 69865020522.

225020568960 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 20 + 568 + 9 + 60 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2319799632 + ... + 2319799728.

It is an arithmetic number, because the mean of its divisors is an integer number (614004300).

Almost surely, 2^225020568960 is an apocalyptic number.

225020568960 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 225020568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471555302400).

225020568960 is an abundant number, since it is smaller than the sum of its proper divisors (718090035840).

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

225020568960 is a wasteful number, since it uses less digits than its factorization.

225020568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 225020568960 in words is "two hundred twenty-five billion, twenty million, five hundred sixty-eight thousand, nine hundred sixty".