10086818688 has 288 divisors, whose sum is σ = 31067225280. Its totient is φ = 3136204800.

The previous prime is 10086818633. The next prime is 10086818701. The reversal of 10086818688 is 88681868001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10086818688² (a number of 21 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121527895 + ... + 121527977.

It is an arithmetic number, because the mean of its divisors is an integer number (107872310).

Almost surely, 2^10086818688 is an apocalyptic number.

10086818688 is a gapful number since it is divisible by the number (18) 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 10086818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15533612640).

10086818688 is an abundant number, since it is smaller than the sum of its proper divisors (20980406592).

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

10086818688 is an equidigital number, since it uses as much as digits as its factorization.

10086818688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 10086818688 in words is "ten billion, eighty-six million, eight hundred eighteen thousand, six hundred eighty-eight".