10668800709853 has 96 divisors (see below), whose sum is σ = 12957721308000. Its totient is φ = 8722380226560.

The previous prime is 10668800709803. The next prime is 10668800709869. The reversal of 10668800709853 is 35890700886601.

It can be written as a sum of positive squares in 16 ways, for example, as 1744230000249 + 8924570709604 = 1320693^2 + 2987402^2 .

It is not a de Polignac number, because 10668800709853 - 2²¹ = 10668798612701 is a prime.

It is a super-2 number, since 2×10668800709853² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10668800709791 and 10668800709800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668800709803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9620198463 + ... + 9620199571.

It is an arithmetic number, because the mean of its divisors is an integer number (134976263625).

Almost surely, 2^{10668800709853} is an apocalyptic number.

10668800709853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10668800709853 is a deficient number, since it is larger than the sum of its proper divisors (2288920598147).

10668800709853 is a wasteful number, since it uses less digits than its factorization.

10668800709853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 10668800709853 in words is "ten trillion, six hundred sixty-eight billion, eight hundred million, seven hundred nine thousand, eight hundred fifty-three".