225072044061600 has 288 divisors, whose sum is σ = 744387817380480. Its totient is φ = 59057592832000.

The previous prime is 225072044061593. The next prime is 225072044061637. The reversal of 225072044061600 is 6160440270522.

225072044061600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85436110 + ... + 88031090.

It is an arithmetic number, because the mean of its divisors is an integer number (2584679921460).

Almost surely, 2^{225072044061600} is an apocalyptic number.

225072044061600 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 225072044061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372193908690240).

225072044061600 is an abundant number, since it is smaller than the sum of its proper divisors (519315773318880).

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

225072044061600 is a wasteful number, since it uses less digits than its factorization.

225072044061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595584 (or 2595571 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 225072044061600 in words is "two hundred twenty-five trillion, seventy-two billion, forty-four million, sixty-one thousand, six hundred".