2855688224256 has 1440 divisors, whose sum is σ = 10677984565248. Its totient is φ = 745480765440.

The previous prime is 2855688224239. The next prime is 2855688224281. The reversal of 2855688224256 is 6524228865582.

2855688224256 is a `hidden beast` number, since 2 + 8 + 5 + 568 + 8 + 22 + 42 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2855688224193 and 2855688224202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9746376046 + ... + 9746376338.

Almost surely, 2^{2855688224256} 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 2855688224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338992282624).

2855688224256 is an abundant number, since it is smaller than the sum of its proper divisors (7822296340992).

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

2855688224256 is an equidigital number, since it uses as much as digits as its factorization.

2855688224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 355 counting only the distinct ones).

The product of its digits is 147456000, while the sum is 63.

The spelling of 2855688224256 in words is "two trillion, eight hundred fifty-five billion, six hundred eighty-eight million, two hundred twenty-four thousand, two hundred fifty-six".