10253385080 has 128 divisors (see below), whose sum is σ = 23944092480. Its totient is φ = 3949854720.

The previous prime is 10253385059. The next prime is 10253385113. The reversal of 10253385080 is 8058335201.

10253385080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 101259²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 10253385080.

It is a congruent number.

It is an unprimeable number.

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, 39896312 + ... + 39896568.

Almost surely, 2^10253385080 is an apocalyptic number.

10253385080 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 10253385080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11972046240).

10253385080 is an abundant number, since it is smaller than the sum of its proper divisors (13690707400).

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

10253385080 is a wasteful number, since it uses less digits than its factorization.

10253385080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 10253385080 in words is "ten billion, two hundred fifty-three million, three hundred eighty-five thousand, eighty".