10309803989832 has 384 divisors, whose sum is σ = 31159084320000. Its totient is φ = 3152341463040.

The previous prime is 10309803989831. The next prime is 10309803989857. The reversal of 10309803989832 is 23898930890301.

10309803989832 is a `hidden beast` number, since 10 + 30 + 98 + 0 + 398 + 98 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10309803989832.

It is not an unprimeable number, because it can be changed into a prime (10309803989831) 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 95 ways as a sum of consecutive naturals, for example, 622526832 + ... + 622543392.

It is an arithmetic number, because the mean of its divisors is an integer number (81143448750).

Almost surely, 2^{10309803989832} is an apocalyptic number.

10309803989832 is a gapful number since it is divisible by the number (12) 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 10309803989832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579542160000).

10309803989832 is an abundant number, since it is smaller than the sum of its proper divisors (20849280330168).

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

10309803989832 is a wasteful number, since it uses less digits than its factorization.

10309803989832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16806 (or 16767 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 10309803989832 in words is "ten trillion, three hundred nine billion, eight hundred three million, nine hundred eighty-nine thousand, eight hundred thirty-two".