225625696992000 has 2880 divisors, whose sum is σ = 888302886831360. Its totient is φ = 56791203840000.

The previous prime is 225625696991993. The next prime is 225625696992001. The reversal of 225625696992000 is 299696526522.

225625696992000 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 569 + 69 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (225625696992001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 857892383869 + ... + 857892384131.

It is an arithmetic number, because the mean of its divisors is an integer number (308438502372).

Almost surely, 2^{225625696992000} is an apocalyptic number.

225625696992000 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 225625696992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444151443415680).

225625696992000 is an abundant number, since it is smaller than the sum of its proper divisors (662677189839360).

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

225625696992000 is a wasteful number, since it uses less digits than its factorization.

225625696992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 225625696992000 in words is "two hundred twenty-five trillion, six hundred twenty-five billion, six hundred ninety-six million, nine hundred ninety-two thousand".