10735079680 has 72 divisors (see below), whose sum is σ = 27691903512. Its totient is φ = 3963715584.

The previous prime is 10735079657. The next prime is 10735079681. The reversal of 10735079680 is 8697053701.

It can be written as a sum of positive squares in 4 ways, for example, as 173817856 + 10561261824 = 13184^2 + 102768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10735079680.

It is not an unprimeable number, because it can be changed into a prime (10735079681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305929 + ... + 339208.

It is an arithmetic number, because the mean of its divisors is an integer number (384609771).

Almost surely, 2^10735079680 is an apocalyptic number.

10735079680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10735079680 is an abundant number, since it is smaller than the sum of its proper divisors (16956823832).

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

10735079680 is an equidigital number, since it uses as much as digits as its factorization.

10735079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645171 (or 645157 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 10735079680 in words is "ten billion, seven hundred thirty-five million, seventy-nine thousand, six hundred eighty".