10552535312 has 80 divisors (see below), whose sum is σ = 23112449280. Its totient is φ = 4623360000.

The previous prime is 10552535311. The next prime is 10552535333. The reversal of 10552535312 is 21353525501.

10552535312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10552535312² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10552535311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831728 + ... + 3834480.

It is an arithmetic number, because the mean of its divisors is an integer number (288905616).

Almost surely, 2^10552535312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10552535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556224640).

10552535312 is an abundant number, since it is smaller than the sum of its proper divisors (12559913968).

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

10552535312 is a wasteful number, since it uses less digits than its factorization.

10552535312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 10552535312 in words is "ten billion, five hundred fifty-two million, five hundred thirty-five thousand, three hundred twelve".