225587204010 has 480 divisors, whose sum is σ = 749976910848. Its totient is φ = 48344325120.

The previous prime is 225587203991. The next prime is 225587204023. The reversal of 225587204010 is 10402785522.

It is a happy number.

225587204010 is a `hidden beast` number, since 2 + 2 + 5 + 587 + 20 + 40 + 10 = 666.

It is a super-2 number, since 2×225587204010² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 247625455 + ... + 247626365.

Almost surely, 2^225587204010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225587204010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374988455424).

225587204010 is an abundant number, since it is smaller than the sum of its proper divisors (524389706838).

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

225587204010 is a wasteful number, since it uses less digits than its factorization.

225587204010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 225587204010 its reverse (10402785522), we get a palindrome (235989989532).

The spelling of 225587204010 in words is "two hundred twenty-five billion, five hundred eighty-seven million, two hundred four thousand, ten".