225779059584 has 512 divisors, whose sum is σ = 762647961600. Its totient is φ = 65142226944.

The previous prime is 225779059549. The next prime is 225779059589. The reversal of 225779059584 is 485950977522.

225779059584 is a `hidden beast` number, since 2 + 2 + 577 + 9 + 0 + 5 + 9 + 58 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225779059589) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371958609 + ... + 371959215.

It is an arithmetic number, because the mean of its divisors is an integer number (1489546800).

Almost surely, 2^225779059584 is an apocalyptic number.

225779059584 is a gapful number since it is divisible by the number (24) 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 225779059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381323980800).

225779059584 is an abundant number, since it is smaller than the sum of its proper divisors (536868902016).

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

225779059584 is a wasteful number, since it uses less digits than its factorization.

225779059584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 225779059584 in words is "two hundred twenty-five billion, seven hundred seventy-nine million, fifty-nine thousand, five hundred eighty-four".