225052588992 has 336 divisors, whose sum is σ = 762147864576. Its totient is φ = 57350092800.

The previous prime is 225052588991. The next prime is 225052589011. The reversal of 225052588992 is 299885250522.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225052588991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8606017 + ... + 8632127.

It is an arithmetic number, because the mean of its divisors is an integer number (2268297216).

Almost surely, 2^225052588992 is an apocalyptic number.

225052588992 is a gapful number since it is divisible by the number (22) 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 225052588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381073932288).

225052588992 is an abundant number, since it is smaller than the sum of its proper divisors (537095275584).

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

225052588992 is a wasteful number, since it uses less digits than its factorization.

225052588992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26208 (or 26187 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 57.

The spelling of 225052588992 in words is "two hundred twenty-five billion, fifty-two million, five hundred eighty-eight thousand, nine hundred ninety-two".