225535050051200 has 384 divisors, whose sum is σ = 578861032189440. Its totient is φ = 86736863232000.

The previous prime is 225535050051187. The next prime is 225535050051203. The reversal of 225535050051200 is 2150050535522.

225535050051200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225535050051203) 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, 10351806707 + ... + 10351828493.

It is an arithmetic number, because the mean of its divisors is an integer number (1507450604660).

Almost surely, 2^{225535050051200} is an apocalyptic number.

225535050051200 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 225535050051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289430516094720).

225535050051200 is an abundant number, since it is smaller than the sum of its proper divisors (353325982138240).

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

225535050051200 is a wasteful number, since it uses less digits than its factorization.

225535050051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22516 (or 22499 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The spelling of 225535050051200 in words is "two hundred twenty-five trillion, five hundred thirty-five billion, fifty million, fifty-one thousand, two hundred".