225109477071360 has 4800 divisors, whose sum is σ = 1019880023500800. Its totient is φ = 47382071869440.

The previous prime is 225109477071331. The next prime is 225109477071379. The reversal of 225109477071360 is 63170774901522.

225109477071360 is a `hidden beast` number, since 2 + 2 + 5 + 109 + 47 + 70 + 71 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225109477071297 and 225109477071306.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1166370347424 + ... + 1166370347616.

It is an arithmetic number, because the mean of its divisors is an integer number (212475004896).

Almost surely, 2^{225109477071360} is an apocalyptic number.

225109477071360 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 225109477071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509940011750400).

225109477071360 is an abundant number, since it is smaller than the sum of its proper divisors (794770546429440).

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

225109477071360 is an equidigital number, since it uses as much as digits as its factorization.

225109477071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 225109477071360 in words is "two hundred twenty-five trillion, one hundred nine billion, four hundred seventy-seven million, seventy-one thousand, three hundred sixty".