225742620501750 has 288 divisors, whose sum is σ = 629653663810080. Its totient is φ = 53828264160000.

The previous prime is 225742620501721. The next prime is 225742620501763. The reversal of 225742620501750 is 57105026247522.

It is a self number, because there is not a number n which added to its sum of digits gives 225742620501750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 337346496 + ... + 338015004.

It is an arithmetic number, because the mean of its divisors is an integer number (2186297443785).

Almost surely, 2^{225742620501750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225742620501750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314826831905040).

225742620501750 is an abundant number, since it is smaller than the sum of its proper divisors (403911043308330).

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

225742620501750 is a wasteful number, since it uses less digits than its factorization.

225742620501750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668673 (or 668591 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 225742620501750 in words is "two hundred twenty-five trillion, seven hundred forty-two billion, six hundred twenty million, five hundred one thousand, seven hundred fifty".