225999175680 has 360 divisors, whose sum is σ = 812527755312. Its totient is φ = 60261138432.

The previous prime is 225999175643. The next prime is 225999175681. The reversal of 225999175680 is 86571999522.

225999175680 is a `hidden beast` number, since 2 + 2 + 59 + 9 + 9 + 17 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225999175681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19900884 + ... + 19912236.

Almost surely, 2^225999175680 is an apocalyptic number.

225999175680 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 225999175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406263877656).

225999175680 is an abundant number, since it is smaller than the sum of its proper divisors (586528579632).

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

225999175680 is an frugal number, since it uses more digits than its factorization.

225999175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11401 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 225999175680 in words is "two hundred twenty-five billion, nine hundred ninety-nine million, one hundred seventy-five thousand, six hundred eighty".