225018058320 has 480 divisors, whose sum is σ = 892106901504. Its totient is φ = 52176960000.

The previous prime is 225018058313. The next prime is 225018058327. The reversal of 225018058320 is 23850810522.

225018058320 is a `hidden beast` number, since 2 + 2 + 50 + 1 + 8 + 0 + 583 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (225018058313) and next prime (225018058327).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225018058327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4895445 + ... + 4941195.

Almost surely, 2^225018058320 is an apocalyptic number.

225018058320 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 225018058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446053450752).

225018058320 is an abundant number, since it is smaller than the sum of its proper divisors (667088843184).

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

225018058320 is a wasteful number, since it uses less digits than its factorization.

225018058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45813 (or 45795 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 225018058320 its reverse (23850810522), we get a palindrome (248868868842).

The spelling of 225018058320 in words is "two hundred twenty-five billion, eighteen million, fifty-eight thousand, three hundred twenty".