10681840794240 has 1024 divisors, whose sum is σ = 47295218995200. Its totient is φ = 2213549752320.

The previous prime is 10681840794239. The next prime is 10681840794253. The reversal of 10681840794240 is 4249704818601.

10681840794240 is a `hidden beast` number, since 10 + 68 + 1 + 84 + 0 + 79 + 424 + 0 = 666.

10681840794240 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 2×10681840794240² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 496288119 + ... + 496309641.

It is an arithmetic number, because the mean of its divisors is an integer number (46186737300).

Almost surely, 2^{10681840794240} is an apocalyptic number.

10681840794240 is a gapful number since it is divisible by the number (10) 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 10681840794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647609497600).

10681840794240 is an abundant number, since it is smaller than the sum of its proper divisors (36613378200960).

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

10681840794240 is a wasteful number, since it uses less digits than its factorization.

10681840794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21942 (or 21924 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10681840794240 in words is "ten trillion, six hundred eighty-one billion, eight hundred forty million, seven hundred ninety-four thousand, two hundred forty".