10259586304 has 72 divisors (see below), whose sum is σ = 22370124672. Its totient is φ = 4657336320.

The previous prime is 10259586301. The next prime is 10259586317. The reversal of 10259586304 is 40368595201.

It is a super-2 number, since 2×10259586304² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259586301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2681737 + ... + 2685559.

It is an arithmetic number, because the mean of its divisors is an integer number (310696176).

Almost surely, 2^10259586304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10259586304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11185062336).

10259586304 is an abundant number, since it is smaller than the sum of its proper divisors (12110538368).

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

10259586304 is an equidigital number, since it uses as much as digits as its factorization.

10259586304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 10259586304 in words is "ten billion, two hundred fifty-nine million, five hundred eighty-six thousand, three hundred four".