225906052881600 has 3024 divisors, whose sum is σ = 1064936277430272. Its totient is φ = 44356314562560.

The previous prime is 225906052881557. The next prime is 225906052881617. The reversal of 225906052881600 is 6188250609522.

225906052881600 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 0 + 6 + 0 + 5 + 28 + 8 + 1 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14496947409 + ... + 14496962991.

Almost surely, 2^{225906052881600} is an apocalyptic number.

225906052881600 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 225906052881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532468138715136).

225906052881600 is an abundant number, since it is smaller than the sum of its proper divisors (839030224548672).

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

225906052881600 is a wasteful number, since it uses less digits than its factorization.

225906052881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15673 counting only the distinct ones).

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

The spelling of 225906052881600 in words is "two hundred twenty-five trillion, nine hundred six billion, fifty-two million, eight hundred eighty-one thousand, six hundred".