225485099421120 has 2016 divisors, whose sum is σ = 1035059144910336. Its totient is φ = 46193520844800.

The previous prime is 225485099421107. The next prime is 225485099421193. The reversal of 225485099421120 is 21124990584522.

It is a happy number.

225485099421120 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 8 + 5 + 0 + 99 + 421 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2975759554 + ... + 2975835326.

It is an arithmetic number, because the mean of its divisors is an integer number (513422194896).

Almost surely, 2^{225485099421120} is an apocalyptic number.

225485099421120 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 225485099421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517529572455168).

225485099421120 is an abundant number, since it is smaller than the sum of its proper divisors (809574045489216).

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

225485099421120 is a wasteful number, since it uses less digits than its factorization.

225485099421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75901 (or 75872 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 225485099421120 in words is "two hundred twenty-five trillion, four hundred eighty-five billion, ninety-nine million, four hundred twenty-one thousand, one hundred twenty".