10260509760 has 336 divisors, whose sum is σ = 38196902016. Its totient is φ = 2616717312.

The previous prime is 10260509729. The next prime is 10260509837. The reversal of 10260509760 is 6790506201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1785612 + ... + 1791348.

It is an arithmetic number, because the mean of its divisors is an integer number (113681256).

Almost surely, 2^10260509760 is an apocalyptic number.

10260509760 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 10260509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19098451008).

10260509760 is an abundant number, since it is smaller than the sum of its proper divisors (27936392256).

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

10260509760 is an equidigital number, since it uses as much as digits as its factorization.

10260509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10260509760 in words is "ten billion, two hundred sixty million, five hundred nine thousand, seven hundred sixty".