225954967680 has 768 divisors, whose sum is σ = 889512624000. Its totient is φ = 52394065920.

The previous prime is 225954967663. The next prime is 225954967687. The reversal of 225954967680 is 86769459522.

225954967680 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 549 + 6 + 7 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (225954967687) 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, 342875191 + ... + 342875849.

Almost surely, 2^225954967680 is an apocalyptic number.

225954967680 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 225954967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444756312000).

225954967680 is an abundant number, since it is smaller than the sum of its proper divisors (663557656320).

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

225954967680 is a wasteful number, since it uses less digits than its factorization.

225954967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 225954967680 in words is "two hundred twenty-five billion, nine hundred fifty-four million, nine hundred sixty-seven thousand, six hundred eighty".