225852364800 has 576 divisors, whose sum is σ = 840254032800. Its totient is φ = 60197437440.

The previous prime is 225852364721. The next prime is 225852364817. The reversal of 225852364800 is 8463258522.

225852364800 is a `hidden beast` number, since 2 + 2 + 585 + 2 + 3 + 64 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111973392 + ... + 111975408.

Almost surely, 2^225852364800 is an apocalyptic number.

225852364800 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 225852364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420127016400).

225852364800 is an abundant number, since it is smaller than the sum of its proper divisors (614401668000).

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

225852364800 is an frugal number, since it uses more digits than its factorization.

225852364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 225852364800 in words is "two hundred twenty-five billion, eight hundred fifty-two million, three hundred sixty-four thousand, eight hundred".