225545522400 has 216 divisors, whose sum is σ = 867632921064. Its totient is φ = 54677683200.

The previous prime is 225545522393. The next prime is 225545522431. The reversal of 225545522400 is 4225545522.

225545522400 is a `hidden beast` number, since 2 + 2 + 55 + 45 + 522 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1344699 + ... + 1503098.

It is an arithmetic number, because the mean of its divisors is an integer number (4016819079).

Almost surely, 2^225545522400 is an apocalyptic number.

225545522400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225545522400 is an abundant number, since it is smaller than the sum of its proper divisors (642087398664).

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

225545522400 is a wasteful number, since it uses less digits than its factorization.

225545522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847834 (or 2847818 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 225545522400 in words is "two hundred twenty-five billion, five hundred forty-five million, five hundred twenty-two thousand, four hundred".