225840596580 has 96 divisors (see below), whose sum is σ = 702699742080. Its totient is φ = 60216912000.

The previous prime is 225840596573. The next prime is 225840596587. The reversal of 225840596580 is 85695048522.

225840596580 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 4 + 0 + 59 + 6 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (225840596573) and next prime (225840596587).

It is a super-2 number, since 2×225840596580² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (225840596587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5650627 + ... + 5690453.

It is an arithmetic number, because the mean of its divisors is an integer number (7319788980).

Almost surely, 2^225840596580 is an apocalyptic number.

225840596580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225840596580 is an abundant number, since it is smaller than the sum of its proper divisors (476859145500).

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

225840596580 is a wasteful number, since it uses less digits than its factorization.

225840596580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50346 (or 50338 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 225840596580 in words is "two hundred twenty-five billion, eight hundred forty million, five hundred ninety-six thousand, five hundred eighty".