2855888928000 has 720 divisors, whose sum is σ = 10733856653520. Its totient is φ = 753960960000.

The previous prime is 2855888927989. The next prime is 2855888928017. The reversal of 2855888928000 is 8298885582.

2855888928000 is a `hidden beast` number, since 28 + 5 + 588 + 8 + 9 + 28 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 544856564736 + 2311032363264 = 738144^2 + 1520208^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2855888928000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 261786546 + ... + 261797454.

It is an arithmetic number, because the mean of its divisors is an integer number (14908134241).

Almost surely, 2^{2855888928000} is an apocalyptic number.

2855888928000 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 2855888928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366928326760).

2855888928000 is an abundant number, since it is smaller than the sum of its proper divisors (7877967725520).

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

2855888928000 is a wasteful number, since it uses less digits than its factorization.

2855888928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 2855888928000 in words is "two trillion, eight hundred fifty-five billion, eight hundred eighty-eight million, nine hundred twenty-eight thousand".