10681735680 has 960 divisors, whose sum is σ = 48044924928. Its totient is φ = 2209628160.

The previous prime is 10681735661. The next prime is 10681735709. The reversal of 10681735680 is 8653718601.

10681735680 is a `hidden beast` number, since 1 + 0 + 6 + 81 + 7 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10681735680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900049 + ... + 47900271.

Almost surely, 2^10681735680 is an apocalyptic number.

10681735680 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 10681735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022462464).

10681735680 is an abundant number, since it is smaller than the sum of its proper divisors (37363189248).

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

10681735680 is an equidigital number, since it uses as much as digits as its factorization.

10681735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10681735680 in words is "ten billion, six hundred eighty-one million, seven hundred thirty-five thousand, six hundred eighty".