10705317680000 has 320 divisors, whose sum is σ = 26966797862400. Its totient is φ = 4231535616000.

The previous prime is 10705317679943. The next prime is 10705317680003. The reversal of 10705317680000 is 8671350701.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10705317680000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705317680003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2733038042 + ... + 2733041958.

It is an arithmetic number, because the mean of its divisors is an integer number (84271243320).

Almost surely, 2^{10705317680000} is an apocalyptic number.

10705317680000 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 10705317680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483398931200).

10705317680000 is an abundant number, since it is smaller than the sum of its proper divisors (16261480182400).

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

10705317680000 is an equidigital number, since it uses as much as digits as its factorization.

10705317680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 10705317680000 in words is "ten trillion, seven hundred five billion, three hundred seventeen million, six hundred eighty thousand".