10275513160 has 128 divisors (see below), whose sum is σ = 26535600000. Its totient is φ = 3546296320.

The previous prime is 10275513151. The next prime is 10275513161. The reversal of 10275513160 is 6131557201.

10275513160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10275513161) 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, 746016 + ... + 759664.

It is an arithmetic number, because the mean of its divisors is an integer number (207309375).

Almost surely, 2^10275513160 is an apocalyptic number.

10275513160 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 10275513160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800000).

10275513160 is an abundant number, since it is smaller than the sum of its proper divisors (16260086840).

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

10275513160 is a wasteful number, since it uses less digits than its factorization.

10275513160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13759 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 10275513160 in words is "ten billion, two hundred seventy-five million, five hundred thirteen thousand, one hundred sixty".