10686378816 has 112 divisors (see below), whose sum is σ = 31794907200. Its totient is φ = 3519161856.

The previous prime is 10686378803. The next prime is 10686378847. The reversal of 10686378816 is 61887368601.

10686378816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10686378816² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106170 + ... + 180678.

It is an arithmetic number, because the mean of its divisors is an integer number (283883100).

Almost surely, 2^10686378816 is an apocalyptic number.

10686378816 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 10686378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897453600).

10686378816 is an abundant number, since it is smaller than the sum of its proper divisors (21108528384).

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

10686378816 is an equidigital number, since it uses as much as digits as its factorization.

10686378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74613 (or 74597 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10686378816 in words is "ten billion, six hundred eighty-six million, three hundred seventy-eight thousand, eight hundred sixteen".