225126362720 has 192 divisors, whose sum is σ = 611008054272. Its totient is φ = 76785408000.

The previous prime is 225126362719. The next prime is 225126362729. The reversal of 225126362720 is 27263621522.

It is a happy number.

225126362720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225126362729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325797575 + ... + 325798265.

It is an arithmetic number, because the mean of its divisors is an integer number (3182333616).

Almost surely, 2^225126362720 is an apocalyptic number.

225126362720 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 225126362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305504027136).

225126362720 is an abundant number, since it is smaller than the sum of its proper divisors (385881691552).

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

225126362720 is a wasteful number, since it uses less digits than its factorization.

225126362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 225126362720 in words is "two hundred twenty-five billion, one hundred twenty-six million, three hundred sixty-two thousand, seven hundred twenty".