225127564600 has 48 divisors (see below), whose sum is σ = 523545397200. Its totient is φ = 90029725440.

The previous prime is 225127564579. The next prime is 225127564661. The reversal of 225127564600 is 6465721522.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728421 + ... + 990379.

It is an arithmetic number, because the mean of its divisors is an integer number (10907195775).

Almost surely, 2^225127564600 is an apocalyptic number.

225127564600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225127564600 is an abundant number, since it is smaller than the sum of its proper divisors (298417832600).

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

225127564600 is a wasteful number, since it uses less digits than its factorization.

225127564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266272 (or 266263 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 225127564600 in words is "two hundred twenty-five billion, one hundred twenty-seven million, five hundred sixty-four thousand, six hundred".