10389788131968 has 96 divisors (see below), whose sum is σ = 34168797305760. Its totient is φ = 2968510892544.

The previous prime is 10389788131949. The next prime is 10389788131969. The reversal of 10389788131968 is 86913188798301.

10389788131968 is a `hidden beast` number, since 10 + 389 + 78 + 81 + 3 + 1 + 96 + 8 = 666.

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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 10389788131896 and 10389788131905.

It is not an unprimeable number, because it can be changed into a prime (10389788131969) 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 11 ways as a sum of consecutive naturals, for example, 644200030 + ... + 644216157.

It is an arithmetic number, because the mean of its divisors is an integer number (355924971935).

Almost surely, 2^{10389788131968} is an apocalyptic number.

10389788131968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10389788131968 is an abundant number, since it is smaller than the sum of its proper divisors (23779009173792).

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

10389788131968 is a wasteful number, since it uses less digits than its factorization.

10389788131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288416214 (or 1288416199 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 72.

The spelling of 10389788131968 in words is "ten trillion, three hundred eighty-nine billion, seven hundred eighty-eight million, one hundred thirty-one thousand, nine hundred sixty-eight".