225510033320000 has 560 divisors, whose sum is σ = 657418951994112. Its totient is φ = 75641917440000.

The previous prime is 225510033319997. The next prime is 225510033320041. The reversal of 225510033320000 is 23330015522.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8505626744 + ... + 8505653256.

Almost surely, 2^{225510033320000} is an apocalyptic number.

225510033320000 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 225510033320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328709475997056).

225510033320000 is an abundant number, since it is smaller than the sum of its proper divisors (431908918674112).

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

225510033320000 is a wasteful number, since it uses less digits than its factorization.

225510033320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28056 (or 28031 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 225510033320000 its reverse (23330015522), we get a palindrome (225533363335522).

The spelling of 225510033320000 in words is "two hundred twenty-five trillion, five hundred ten billion, thirty-three million, three hundred twenty thousand".