10265539760 has 160 divisors (see below), whose sum is σ = 29079388800. Its totient is φ = 3289890816.

The previous prime is 10265539751. The next prime is 10265539763. The reversal of 10265539760 is 6793556201.

It is a Cunningham number, because it is equal to 101319²-1.

It is not an unprimeable number, because it can be changed into a prime (10265539763) 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 31 ways as a sum of consecutive naturals, for example, 1414862 + ... + 1422098.

It is an arithmetic number, because the mean of its divisors is an integer number (181746180).

Almost surely, 2^10265539760 is an apocalyptic number.

10265539760 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 10265539760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539694400).

10265539760 is an abundant number, since it is smaller than the sum of its proper divisors (18813849040).

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

10265539760 is a wasteful number, since it uses less digits than its factorization.

10265539760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The spelling of 10265539760 in words is "ten billion, two hundred sixty-five million, five hundred thirty-nine thousand, seven hundred sixty".