10309284768 has 48 divisors (see below), whose sum is σ = 27083288736. Its totient is φ = 3433708800.

The previous prime is 10309284761. The next prime is 10309284773. The reversal of 10309284768 is 86748290301.

10309284768 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10309284761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 81318 + ... + 165018.

It is an arithmetic number, because the mean of its divisors is an integer number (564235182).

Almost surely, 2^10309284768 is an apocalyptic number.

It is an amenable number.

10309284768 is an abundant number, since it is smaller than the sum of its proper divisors (16774003968).

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

10309284768 is a wasteful number, since it uses less digits than its factorization.

10309284768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84997 (or 84989 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10309284768 in words is "ten billion, three hundred nine million, two hundred eighty-four thousand, seven hundred sixty-eight".