10535326685200 has 60 divisors (see below), whose sum is σ = 25561727631108. Its totient is φ = 4172406592000.

The previous prime is 10535326685161. The next prime is 10535326685201. The reversal of 10535326685200 is 258662353501.

It can be written as a sum of positive squares in 6 ways, for example, as 82235885824 + 10453090799376 = 286768^2 + 3233124^2 .

It is a super-2 number, since 2×10535326685200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535326685201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 130347307 + ... + 130428106.

Almost surely, 2^{10535326685200} is an apocalyptic number.

10535326685200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535326685200 is an abundant number, since it is smaller than the sum of its proper divisors (15026400945908).

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

10535326685200 is a wasteful number, since it uses less digits than its factorization.

10535326685200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260775532 (or 260775521 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 10535326685200 in words is "ten trillion, five hundred thirty-five billion, three hundred twenty-six million, six hundred eighty-five thousand, two hundred".