10065000480 has 96 divisors (see below), whose sum is σ = 32561694144. Its totient is φ = 2611454976.

The previous prime is 10065000479. The next prime is 10065000503. The reversal of 10065000480 is 8400056001.

10065000480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10065000480.

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 15 ways as a sum of consecutive naturals, for example, 265602 + ... + 301121.

It is an arithmetic number, because the mean of its divisors is an integer number (339184314).

Almost surely, 2^10065000480 is an apocalyptic number.

10065000480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10065000480 is an abundant number, since it is smaller than the sum of its proper divisors (22496693664).

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

10065000480 is a wasteful number, since it uses less digits than its factorization.

10065000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566778 (or 566770 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10065000480 its reverse (8400056001), we get a palindrome (18465056481).

The spelling of 10065000480 in words is "ten billion, sixty-five million, four hundred eighty", and thus it is an aban number.