2256425325000 has 576 divisors, whose sum is σ = 9523336717440. Its totient is φ = 468864000000.

The previous prime is 2256425324981. The next prime is 2256425325001. The reversal of 2256425325000 is 5235246522.

2256425325000 is a `hidden beast` number, since 2 + 2 + 5 + 642 + 5 + 3 + 2 + 5 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2256425325001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 17259880 + ... + 17390120.

It is an arithmetic number, because the mean of its divisors is an integer number (16533570690).

Almost surely, 2^{2256425325000} is an apocalyptic number.

2256425325000 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 2256425325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761668358720).

2256425325000 is an abundant number, since it is smaller than the sum of its proper divisors (7266911392440).

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

2256425325000 is a wasteful number, since it uses less digits than its factorization.

2256425325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130296 (or 130269 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2256425325000 in words is "two trillion, two hundred fifty-six billion, four hundred twenty-five million, three hundred twenty-five thousand".