225755873280 has 720 divisors, whose sum is σ = 934158335040. Its totient is φ = 51576569856.

The previous prime is 225755873263. The next prime is 225755873281. The reversal of 225755873280 is 82378557522.

225755873280 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 558 + 7 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (225755873281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108379119 + ... + 108381201.

It is an arithmetic number, because the mean of its divisors is an integer number (1297442132).

Almost surely, 2^225755873280 is an apocalyptic number.

225755873280 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 225755873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467079167520).

225755873280 is an abundant number, since it is smaller than the sum of its proper divisors (708402461760).

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

225755873280 is an equidigital number, since it uses as much as digits as its factorization.

225755873280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 225755873280 in words is "two hundred twenty-five billion, seven hundred fifty-five million, eight hundred seventy-three thousand, two hundred eighty".