225855172400 has 240 divisors, whose sum is σ = 651051330048. Its totient is φ = 74197632000.

The previous prime is 225855172399. The next prime is 225855172421. The reversal of 225855172400 is 4271558522.

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, 2646395 + ... + 2730405.

Almost surely, 2^225855172400 is an apocalyptic number.

225855172400 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 225855172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325525665024).

225855172400 is an abundant number, since it is smaller than the sum of its proper divisors (425196157648).

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

225855172400 is a wasteful number, since it uses less digits than its factorization.

225855172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84100 (or 84089 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 41.

The spelling of 225855172400 in words is "two hundred twenty-five billion, eight hundred fifty-five million, one hundred seventy-two thousand, four hundred".