10670781706560 has 896 divisors, whose sum is σ = 39866271621120. Its totient is φ = 2714953697280.

The previous prime is 10670781706553. The next prime is 10670781706609. The reversal of 10670781706560 is 6560718707601.

10670781706560 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 0 + 7 + 8 + 1 + 70 + 6 + 560 = 666.

It is a super-2 number, since 2×10670781706560² (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 a junction number, because it is equal to n+sod(n) for n = 10670781706497 and 10670781706506.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 10349933245 + ... + 10349934275.

It is an arithmetic number, because the mean of its divisors is an integer number (44493606720).

Almost surely, 2^{10670781706560} is an apocalyptic number.

10670781706560 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 10670781706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933135810560).

10670781706560 is an abundant number, since it is smaller than the sum of its proper divisors (29195489914560).

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

10670781706560 is an equidigital number, since it uses as much as digits as its factorization.

10670781706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10670781706560 in words is "ten trillion, six hundred seventy billion, seven hundred eighty-one million, seven hundred six thousand, five hundred sixty".