224958272880 has 320 divisors, whose sum is σ = 791833890816. Its totient is φ = 52773811200.

The previous prime is 224958272873. The next prime is 224958272887. The reversal of 224958272880 is 88272859422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224958272873) and next prime (224958272887).

It is a self number, because there is not a number n which added to its sum of digits gives 224958272880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224958272887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9891282 + ... + 9913998.

Almost surely, 2^224958272880 is an apocalyptic number.

224958272880 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 224958272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395916945408).

224958272880 is an abundant number, since it is smaller than the sum of its proper divisors (566875617936).

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

224958272880 is a wasteful number, since it uses less digits than its factorization.

224958272880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22797 (or 22769 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 224958272880 in words is "two hundred twenty-four billion, nine hundred fifty-eight million, two hundred seventy-two thousand, eight hundred eighty".