10389943200 has 576 divisors, whose sum is σ = 42091805952. Its totient is φ = 2167603200.

The previous prime is 10389943171. The next prime is 10389943231. The reversal of 10389943200 is 234998301.

10389943200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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, 24678990 + ... + 24679410.

It is an arithmetic number, because the mean of its divisors is an integer number (73076052).

Almost surely, 2^10389943200 is an apocalyptic number.

10389943200 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 10389943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045902976).

10389943200 is an abundant number, since it is smaller than the sum of its proper divisors (31701862752).

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

10389943200 is a wasteful number, since it uses less digits than its factorization.

10389943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 10389943200 in words is "ten billion, three hundred eighty-nine million, nine hundred forty-three thousand, two hundred".