225866300104800 has 2160 divisors, whose sum is σ = 909690924054528. Its totient is φ = 54446195865600.

The previous prime is 225866300104759. The next prime is 225866300104801. The reversal of 225866300104800 is 8401003668522.

225866300104800 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 6 + 630 + 0 + 1 + 0 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225866300104801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 45694171129 + ... + 45694176071.

Almost surely, 2^{225866300104800} is an apocalyptic number.

225866300104800 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 225866300104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454845462027264).

225866300104800 is an abundant number, since it is smaller than the sum of its proper divisors (683824623949728).

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

225866300104800 is a wasteful number, since it uses less digits than its factorization.

225866300104800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 225866300104800 in words is "two hundred twenty-five trillion, eight hundred sixty-six billion, three hundred million, one hundred four thousand, eight hundred".