882250805120256 has 2916 divisors, whose sum is σ = 3208653924404292. Its totient is φ = 231565978828800.

The previous prime is 882250805120207. The next prime is 882250805120303. The reversal of 882250805120256 is 652021508052288.

It is a happy number.

882250805120256 is a `hidden beast` number, since 8 + 8 + 2 + 2 + 508 + 0 + 5 + 120 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 309605139360000 + 572645665760256 = 17595600^2 + 23930016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 6439786898620 + ... + 6439786898756.

Almost surely, 2^{882250805120256} is an apocalyptic number.

882250805120256 is a gapful number since it is divisible by the number (86) 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 882250805120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604326962202146).

882250805120256 is an abundant number, since it is smaller than the sum of its proper divisors (2326403119284036).

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

882250805120256 is a wasteful number, since it uses less digits than its factorization.

882250805120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 882250805120256 in words is "eight hundred eighty-two trillion, two hundred fifty billion, eight hundred five million, one hundred twenty thousand, two hundred fifty-six".