225520928236800 has 3240 divisors, whose sum is σ = 995413089984768. Its totient is φ = 48630177792000.

The previous prime is 225520928236777. The next prime is 225520928236859. The reversal of 225520928236800 is 8632829025522.

225520928236800 is a `hidden beast` number, since 2 + 2 + 5 + 520 + 9 + 2 + 8 + 2 + 36 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 175776248959 + ... + 175776250241.

Almost surely, 2^{225520928236800} is an apocalyptic number.

225520928236800 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 225520928236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497706544992384).

225520928236800 is an abundant number, since it is smaller than the sum of its proper divisors (769892161747968).

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

225520928236800 is a wasteful number, since it uses less digits than its factorization.

225520928236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 225520928236800 in words is "two hundred twenty-five trillion, five hundred twenty billion, nine hundred twenty-eight million, two hundred thirty-six thousand, eight hundred".