10261319680 has 104 divisors (see below), whose sum is σ = 26073525672. Its totient is φ = 3862953984.

The previous prime is 10261319639. The next prime is 10261319681. The reversal of 10261319680 is 8691316201.

It can be written as a sum of positive squares in 4 ways, for example, as 1082146816 + 9179172864 = 32896^2 + 95808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261319681) 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, 333424 + ... + 362896.

Almost surely, 2^10261319680 is an apocalyptic number.

10261319680 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 10261319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036762836).

10261319680 is an abundant number, since it is smaller than the sum of its proper divisors (15812205992).

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

10261319680 is an equidigital number, since it uses as much as digits as its factorization.

10261319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29519 (or 29497 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 10261319680 in words is "ten billion, two hundred sixty-one million, three hundred nineteen thousand, six hundred eighty".