225058633275840 has 448 divisors, whose sum is σ = 897408068121600. Its totient is φ = 47484897546240.

The previous prime is 225058633275769. The next prime is 225058633275851. The reversal of 225058633275840 is 48572336850522.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 22007326 + ... + 30568605.

It is an arithmetic number, because the mean of its divisors is an integer number (2003143009200).

Almost surely, 2^{225058633275840} is an apocalyptic number.

225058633275840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225058633275840 is an abundant number, since it is smaller than the sum of its proper divisors (672349434845760).

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

225058633275840 is a wasteful number, since it uses less digits than its factorization.

225058633275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52575985 (or 52575961 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 60.

The spelling of 225058633275840 in words is "two hundred twenty-five trillion, fifty-eight billion, six hundred thirty-three million, two hundred seventy-five thousand, eight hundred forty".