225567513600 has 2112 divisors, whose sum is σ = 982497116160. Its totient is φ = 44767641600.

The previous prime is 225567513599. The next prime is 225567513601. The reversal of 225567513600 is 6315765522.

225567513600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225567513599) and next prime (225567513601).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225567513601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4799308777 + ... + 4799308823.

Almost surely, 2^225567513600 is an apocalyptic number.

225567513600 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 225567513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491248558080).

225567513600 is an abundant number, since it is smaller than the sum of its proper divisors (756929602560).

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

225567513600 is a wasteful number, since it uses less digits than its factorization.

225567513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 225567513600 in words is "two hundred twenty-five billion, five hundred sixty-seven million, five hundred thirteen thousand, six hundred".