225621140751360 has 792 divisors, whose sum is σ = 811894329230400. Its totient is φ = 57929960816640.

The previous prime is 225621140751319. The next prime is 225621140751367. The reversal of 225621140751360 is 63157041126522.

225621140751360 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 211 + 4 + 0 + 75 + 1 + 360 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (225621140751367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8812280319 + ... + 8812305921.

Almost surely, 2^{225621140751360} is an apocalyptic number.

225621140751360 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 225621140751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405947164615200).

225621140751360 is an abundant number, since it is smaller than the sum of its proper divisors (586273188479040).

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

225621140751360 is a wasteful number, since it uses less digits than its factorization.

225621140751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25895 (or 25843 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

Adding to 225621140751360 its reverse (63157041126522), we get a palindrome (288778181877882).

The spelling of 225621140751360 in words is "two hundred twenty-five trillion, six hundred twenty-one billion, one hundred forty million, seven hundred fifty-one thousand, three hundred sixty".