225855786240 has 1728 divisors, whose sum is σ = 991029312000. Its totient is φ = 49161240576.

The previous prime is 225855786227. The next prime is 225855786241. The reversal of 225855786240 is 42687558522.

225855786240 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 5 + 5 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225855786241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3093914844 + ... + 3093914916.

Almost surely, 2^225855786240 is an apocalyptic number.

225855786240 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 225855786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495514656000).

225855786240 is an abundant number, since it is smaller than the sum of its proper divisors (765173525760).

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

225855786240 is an frugal number, since it uses more digits than its factorization.

225855786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 225855786240 in words is "two hundred twenty-five billion, eight hundred fifty-five million, seven hundred eighty-six thousand, two hundred forty".