225057537075600 has 180 divisors, whose sum is σ = 785375368362000. Its totient is φ = 59680061802240.

The previous prime is 225057537075599. The next prime is 225057537075601. The reversal of 225057537075600 is 6570735750522.

225057537075600 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 5 + 7 + 5 + 3 + 70 + 7 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225057537075599) and next prime (225057537075601).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (225057537075601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173981250 + ... + 175270049.

It is an arithmetic number, because the mean of its divisors is an integer number (4363196490900).

Almost surely, 2^{225057537075600} is an apocalyptic number.

225057537075600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225057537075600 is an abundant number, since it is smaller than the sum of its proper divisors (560317831286400).

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

225057537075600 is a wasteful number, since it uses less digits than its factorization.

225057537075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349251502 (or 349251488 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 54.

The spelling of 225057537075600 in words is "two hundred twenty-five trillion, fifty-seven billion, five hundred thirty-seven million, seventy-five thousand, six hundred".