225126366300 has 432 divisors, whose sum is σ = 779207773344. Its totient is φ = 53913600000.

The previous prime is 225126366287. The next prime is 225126366323. The reversal of 225126366300 is 3663621522.

225126366300 is a `hidden beast` number, since 2 + 2 + 5 + 12 + 6 + 3 + 6 + 630 + 0 = 666.

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

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, 374586000 + ... + 374586600.

Almost surely, 2^225126366300 is an apocalyptic number.

225126366300 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 225126366300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389603886672).

225126366300 is an abundant number, since it is smaller than the sum of its proper divisors (554081407044).

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

225126366300 is a wasteful number, since it uses less digits than its factorization.

225126366300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 225126366300 its reverse (3663621522), we get a palindrome (228789987822).

The spelling of 225126366300 in words is "two hundred twenty-five billion, one hundred twenty-six million, three hundred sixty-six thousand, three hundred".