2255805683712 has 576 divisors, whose sum is σ = 7795687536000. Its totient is φ = 642654093312.

The previous prime is 2255805683683. The next prime is 2255805683713. The reversal of 2255805683712 is 2173865085522.

It is a happy number.

2255805683712 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 8 + 0 + 568 + 3 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255805683713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135281183 + ... + 1135283169.

It is an arithmetic number, because the mean of its divisors is an integer number (13534179750).

Almost surely, 2^{2255805683712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255805683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897843768000).

2255805683712 is an abundant number, since it is smaller than the sum of its proper divisors (5539881852288).

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

2255805683712 is a wasteful number, since it uses less digits than its factorization.

2255805683712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 2255805683712 in words is "two trillion, two hundred fifty-five billion, eight hundred five million, six hundred eighty-three thousand, seven hundred twelve".