10531200160 has 96 divisors (see below), whose sum is σ = 26872860672. Its totient is φ = 3876971520.

The previous prime is 10531200139. The next prime is 10531200203. The reversal of 10531200160 is 6100213501.

10531200160 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 2×10531200160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 714465 + ... + 729055.

It is an arithmetic number, because the mean of its divisors is an integer number (279925632).

Almost surely, 2^10531200160 is an apocalyptic number.

10531200160 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 10531200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436430336).

10531200160 is an abundant number, since it is smaller than the sum of its proper divisors (16341660512).

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

10531200160 is a wasteful number, since it uses less digits than its factorization.

10531200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14966 (or 14958 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10531200160 its reverse (6100213501), we get a palindrome (16631413661).

The spelling of 10531200160 in words is "ten billion, five hundred thirty-one million, two hundred thousand, one hundred sixty".