10298560320 has 280 divisors, whose sum is σ = 37082906784. Its totient is φ = 2712628224.

The previous prime is 10298560319. The next prime is 10298560331. The reversal of 10298560320 is 2306589201.

10298560320 is a `hidden beast` number, since 1 + 0 + 2 + 98 + 560 + 3 + 2 + 0 = 666.

10298560320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 39 ways as a sum of consecutive naturals, for example, 2148967 + ... + 2153753.

Almost surely, 2^10298560320 is an apocalyptic number.

10298560320 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 10298560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541453392).

10298560320 is an abundant number, since it is smaller than the sum of its proper divisors (26784346464).

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

10298560320 is an equidigital number, since it uses as much as digits as its factorization.

10298560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10298560320 in words is "ten billion, two hundred ninety-eight million, five hundred sixty thousand, three hundred twenty".