225211879200 has 2160 divisors, whose sum is σ = 1047682006560. Its totient is φ = 41726361600.

The previous prime is 225211879187. The next prime is 225211879213. The reversal of 225211879200 is 2978112522.

225211879200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225211879187) and next prime (225211879213).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11853256791 + ... + 11853256809.

It is an arithmetic number, because the mean of its divisors is an integer number (485037966).

Almost surely, 2^225211879200 is an apocalyptic number.

225211879200 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 225211879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523841003280).

225211879200 is an abundant number, since it is smaller than the sum of its proper divisors (822470127360).

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

225211879200 is a wasteful number, since it uses less digits than its factorization.

225211879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 225211879200 in words is "two hundred twenty-five billion, two hundred eleven million, eight hundred seventy-nine thousand, two hundred".