10531485960 has 128 divisors (see below), whose sum is σ = 31877280000. Its totient is φ = 2783379456.

The previous prime is 10531485953. The next prime is 10531485961. The reversal of 10531485960 is 6958413501.

10531485960 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 2×10531485960² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10531485961) 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 31 ways as a sum of consecutive naturals, for example, 7473736 + ... + 7475144.

It is an arithmetic number, because the mean of its divisors is an integer number (249041250).

Almost surely, 2^10531485960 is an apocalyptic number.

10531485960 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 10531485960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938640000).

10531485960 is an abundant number, since it is smaller than the sum of its proper divisors (21345794040).

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

10531485960 is a wasteful number, since it uses less digits than its factorization.

10531485960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 10531485960 in words is "ten billion, five hundred thirty-one million, four hundred eighty-five thousand, nine hundred sixty".