225480053221920 has 1152 divisors, whose sum is σ = 892655885721600. Its totient is φ = 50766943518720.

The previous prime is 225480053221919. The next prime is 225480053221967. The reversal of 225480053221920 is 29122350084522.

225480053221920 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 8 + 0 + 0 + 532 + 21 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155825882637 + ... + 155825884083.

It is an arithmetic number, because the mean of its divisors is an integer number (774874900800).

Almost surely, 2^{225480053221920} is an apocalyptic number.

225480053221920 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 225480053221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446327942860800).

225480053221920 is an abundant number, since it is smaller than the sum of its proper divisors (667175832499680).

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

225480053221920 is a wasteful number, since it uses less digits than its factorization.

225480053221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 225480053221920 in words is "two hundred twenty-five trillion, four hundred eighty billion, fifty-three million, two hundred twenty-one thousand, nine hundred twenty".