10086401817856 has 576 divisors, whose sum is σ = 26994896732160. Its totient is φ = 3651579740160.

The previous prime is 10086401817829. The next prime is 10086401817857. The reversal of 10086401817856 is 65871810468001.

It is a junction number, because it is equal to n+sod(n) for n = 10086401817797 and 10086401817806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10086401817857) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1478290861 + ... + 1478297683.

It is an arithmetic number, because the mean of its divisors is an integer number (46866140160).

Almost surely, 2^{10086401817856} is an apocalyptic number.

10086401817856 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 10086401817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497448366080).

10086401817856 is an abundant number, since it is smaller than the sum of its proper divisors (16908494914304).

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

10086401817856 is a wasteful number, since it uses less digits than its factorization.

10086401817856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 10086401817856 in words is "ten trillion, eighty-six billion, four hundred one million, eight hundred seventeen thousand, eight hundred fifty-six".