10385893447680 has 768 divisors, whose sum is σ = 34721867980800. Its totient is φ = 2648233082880.

The previous prime is 10385893447669. The next prime is 10385893447681. The reversal of 10385893447680 is 8674439858301.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10385893447681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21152532235 + ... + 21152532725.

It is an arithmetic number, because the mean of its divisors is an integer number (45210765600).

Almost surely, 2^{10385893447680} is an apocalyptic number.

10385893447680 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 10385893447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360933990400).

10385893447680 is an abundant number, since it is smaller than the sum of its proper divisors (24335974533120).

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

10385893447680 is a wasteful number, since it uses less digits than its factorization.

10385893447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 10385893447680 in words is "ten trillion, three hundred eighty-five billion, eight hundred ninety-three million, four hundred forty-seven thousand, six hundred eighty".