10859940337344 has 168 divisors, whose sum is σ = 33525781714368. Its totient is φ = 3093465070080.

The previous prime is 10859940337307. The next prime is 10859940337417. The reversal of 10859940337344 is 44373304995801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1370347 + ... + 4857749.

Almost surely, 2^{10859940337344} is an apocalyptic number.

10859940337344 is a gapful number since it is divisible by the number (14) 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 10859940337344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762890857184).

10859940337344 is an abundant number, since it is smaller than the sum of its proper divisors (22665841377024).

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

10859940337344 is a wasteful number, since it uses less digits than its factorization.

10859940337344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487763 (or 3487746 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 10859940337344 in words is "ten trillion, eight hundred fifty-nine billion, nine hundred forty million, three hundred thirty-seven thousand, three hundred forty-four".