225206967960 has 384 divisors, whose sum is σ = 802325684160. Its totient is φ = 54452736000.

The previous prime is 225206967911. The next prime is 225206967961. The reversal of 225206967960 is 69769602522.

It is a happy number.

225206967960 is a `hidden beast` number, since 22 + 520 + 6 + 9 + 6 + 7 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225206967897 and 225206967906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225206967961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61919262 + ... + 61922898.

Almost surely, 2^225206967960 is an apocalyptic number.

225206967960 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 225206967960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401162842080).

225206967960 is an abundant number, since it is smaller than the sum of its proper divisors (577118716200).

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

225206967960 is a wasteful number, since it uses less digits than its factorization.

225206967960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 225206967960 in words is "two hundred twenty-five billion, two hundred six million, nine hundred sixty-seven thousand, nine hundred sixty".