225881228635920 has 3840 divisors, whose sum is σ = 1005447447244800. Its totient is φ = 46201757184000.

The previous prime is 225881228635919. The next prime is 225881228635981. The reversal of 225881228635920 is 29536822188522.

225881228635920 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 8 + 12 + 28 + 6 + 3 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 682420630155 + ... + 682420630485.

It is an arithmetic number, because the mean of its divisors is an integer number (261835272720).

Almost surely, 2^{225881228635920} is an apocalyptic number.

225881228635920 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 225881228635920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502723723622400).

225881228635920 is an abundant number, since it is smaller than the sum of its proper divisors (779566218608880).

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

225881228635920 is a wasteful number, since it uses less digits than its factorization.

225881228635920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 225881228635920 in words is "two hundred twenty-five trillion, eight hundred eighty-one billion, two hundred twenty-eight million, six hundred thirty-five thousand, nine hundred twenty".