10282694201856 has 240 divisors, whose sum is σ = 29768707683000. Its totient is φ = 3416939495424.

The previous prime is 10282694201851. The next prime is 10282694201869. The reversal of 10282694201856 is 65810249628201.

10282694201856 is a `hidden beast` number, since 1 + 0 + 2 + 82 + 69 + 420 + 1 + 85 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10224748083456 + 57946118400 = 3197616^2 + 240720^2 .

It is not an unprimeable number, because it can be changed into a prime (10282694201851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2211805420 + ... + 2211810068.

Almost surely, 2^{10282694201856} is an apocalyptic number.

10282694201856 is a gapful number since it is divisible by the number (16) 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 10282694201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884353841500).

10282694201856 is an abundant number, since it is smaller than the sum of its proper divisors (19486013481144).

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

10282694201856 is an equidigital number, since it uses as much as digits as its factorization.

10282694201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10282694201856 in words is "ten trillion, two hundred eighty-two billion, six hundred ninety-four million, two hundred one thousand, eight hundred fifty-six".