225253177600 has 432 divisors, whose sum is σ = 654038138880. Its totient is φ = 75926937600.

The previous prime is 225253177577. The next prime is 225253177627. The reversal of 225253177600 is 6771352522.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 62865409 + ... + 62868991.

Almost surely, 2^225253177600 is an apocalyptic number.

225253177600 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 225253177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327019069440).

225253177600 is an abundant number, since it is smaller than the sum of its proper divisors (428784961280).

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

225253177600 is a wasteful number, since it uses less digits than its factorization.

225253177600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 225253177600 in words is "two hundred twenty-five billion, two hundred fifty-three million, one hundred seventy-seven thousand, six hundred".