225630892080 has 240 divisors, whose sum is σ = 831899281824. Its totient is φ = 54349701120.

The previous prime is 225630892037. The next prime is 225630892111. The reversal of 225630892080 is 80298036522.

It is a happy number.

225630892080 is a `hidden beast` number, since 2 + 2 + 5 + 630 + 8 + 9 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152712 + ... + 1334168.

Almost surely, 2^225630892080 is an apocalyptic number.

225630892080 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 225630892080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415949640912).

225630892080 is an abundant number, since it is smaller than the sum of its proper divisors (606268389744).

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

225630892080 is a wasteful number, since it uses less digits than its factorization.

225630892080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181644 (or 181635 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 225630892080 in words is "two hundred twenty-five billion, six hundred thirty million, eight hundred ninety-two thousand, eighty".