225725551200 has 1440 divisors, whose sum is σ = 931035409920. Its totient is φ = 52918272000.

The previous prime is 225725551199. The next prime is 225725551267. The reversal of 225725551200 is 2155527522.

225725551200 is a `hidden beast` number, since 2 + 25 + 72 + 55 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1494871125 + ... + 1494871275.

It is an arithmetic number, because the mean of its divisors is an integer number (646552368).

Almost surely, 2^225725551200 is an apocalyptic number.

225725551200 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 225725551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465517704960).

225725551200 is an abundant number, since it is smaller than the sum of its proper divisors (705309858720).

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

225725551200 is a wasteful number, since it uses less digits than its factorization.

225725551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 225725551200 in words is "two hundred twenty-five billion, seven hundred twenty-five million, five hundred fifty-one thousand, two hundred".