10019282560 has 128 divisors (see below), whose sum is σ = 27425923200. Its totient is φ = 3428683776.

The previous prime is 10019282531. The next prime is 10019282569. The reversal of 10019282560 is 6528291001.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10019282569) 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 15 ways as a sum of consecutive naturals, for example, 2771314 + ... + 2774926.

It is an arithmetic number, because the mean of its divisors is an integer number (214265025).

Almost surely, 2^10019282560 is an apocalyptic number.

10019282560 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 10019282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712961600).

10019282560 is an abundant number, since it is smaller than the sum of its proper divisors (17406640640).

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

10019282560 is an equidigital number, since it uses as much as digits as its factorization.

10019282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 10019282560 in words is "ten billion, nineteen million, two hundred eighty-two thousand, five hundred sixty".