225329820876160 has 2048 divisors, whose sum is σ = 778508933529600. Its totient is φ = 60046943846400.

The previous prime is 225329820876143. The next prime is 225329820876239. The reversal of 225329820876160 is 61678028923522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109756365694 + ... + 109756367746.

It is an arithmetic number, because the mean of its divisors is an integer number (380131315200).

Almost surely, 2^{225329820876160} is an apocalyptic number.

225329820876160 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 225329820876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389254466764800).

225329820876160 is an abundant number, since it is smaller than the sum of its proper divisors (553179112653440).

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

225329820876160 is a wasteful number, since it uses less digits than its factorization.

225329820876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 225329820876160 in words is "two hundred twenty-five trillion, three hundred twenty-nine billion, eight hundred twenty million, eight hundred seventy-six thousand, one hundred sixty".