225815040000 has 1365 divisors, whose sum is σ = 929950351099. Its totient is φ = 54743040000.

The previous prime is 225815039971. The next prime is 225815040013. The reversal of 225815040000 is 40518522.

It is a happy number.

The square root of 225815040000 is 475200.

It is a perfect power (a square), and thus also a powerful number.

225815040000 is a `hidden beast` number, since 2 + 258 + 1 + 5 + 0 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17703899136 + 208111140864 = 133056^2 + 456192^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 20528639995 + ... + 20528640005.

Almost surely, 2^225815040000 is an apocalyptic number.

225815040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

225815040000 is the 475200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225815040000

225815040000 is an abundant number, since it is smaller than the sum of its proper divisors (704135311099).

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

225815040000 is an frugal number, since it uses more digits than its factorization.

225815040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 225815040000 its reverse (40518522), we get a palindrome (225855558522).

The spelling of 225815040000 in words is "two hundred twenty-five billion, eight hundred fifteen million, forty thousand".