10009830360000 has 560 divisors, whose sum is σ = 33377488784640. Its totient is φ = 2646589440000.

The previous prime is 10009830359999. The next prime is 10009830360007. The reversal of 10009830360000 is 6303890001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10009830360000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009830360007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13768679637 + ... + 13768680363.

It is an arithmetic number, because the mean of its divisors is an integer number (59602658544).

Almost surely, 2^{10009830360000} is an apocalyptic number.

10009830360000 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 10009830360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688744392320).

10009830360000 is an abundant number, since it is smaller than the sum of its proper divisors (23367658424640).

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

10009830360000 is an equidigital number, since it uses as much as digits as its factorization.

10009830360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 10009830360000 in words is "ten trillion, nine billion, eight hundred thirty million, three hundred sixty thousand".