225160761800 has 324 divisors, whose sum is σ = 593757255195. Its totient is φ = 79367608320.

The previous prime is 225160761779. The next prime is 225160761803. The reversal of 225160761800 is 8167061522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 41 ways, for example, as 224492125636 + 668636164 = 473806^2 + 25858^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335530.

It is not an unprimeable number, because it can be changed into a prime (225160761803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2529896156 + ... + 2529896244.

Almost surely, 2^225160761800 is an apocalyptic number.

225160761800 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 225160761800

225160761800 is an abundant number, since it is smaller than the sum of its proper divisors (368596493395).

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

225160761800 is a wasteful number, since it uses less digits than its factorization.

225160761800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 225160761800 in words is "two hundred twenty-five billion, one hundred sixty million, seven hundred sixty-one thousand, eight hundred".