266515025400225 has 288 divisors, whose sum is σ = 575336688238080. Its totient is φ = 120594458880000.

The previous prime is 266515025400167. The next prime is 266515025400271. The reversal of 266515025400225 is 522004520515662.

266515025400225 is a `hidden beast` number, since 2 + 6 + 6 + 5 + 15 + 0 + 2 + 5 + 400 + 225 = 666.

266515025400225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 266515025400225 - 2²⁴ = 266515008623009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14274267640 + ... + 14274286310.

It is an arithmetic number, because the mean of its divisors is an integer number (1997696834160).

Almost surely, 2^{266515025400225} is an apocalyptic number.

266515025400225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

266515025400225 is an abundant number, since it is smaller than the sum of its proper divisors (308821662837855).

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

266515025400225 is a wasteful number, since it uses less digits than its factorization.

266515025400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23078 (or 23060 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 266515025400225 its reverse (522004520515662), we get a palindrome (788519545915887).

The spelling of 266515025400225 in words is "two hundred sixty-six trillion, five hundred fifteen billion, twenty-five million, four hundred thousand, two hundred twenty-five".