225955576800 has 432 divisors, whose sum is σ = 805467853008. Its totient is φ = 59601715200.

The previous prime is 225955576733. The next prime is 225955576811. The reversal of 225955576800 is 8675559522.

It is a happy number.

225955576800 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 5 + 557 + 6 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352504480 + ... + 352505120.

It is an arithmetic number, because the mean of its divisors is an integer number (1864508919).

Almost surely, 2^225955576800 is an apocalyptic number.

225955576800 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 225955576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402733926504).

225955576800 is an abundant number, since it is smaller than the sum of its proper divisors (579512276208).

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

225955576800 is a wasteful number, since it uses less digits than its factorization.

225955576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 225955576800 in words is "two hundred twenty-five billion, nine hundred fifty-five million, five hundred seventy-six thousand, eight hundred".