10394365824 has 192 divisors, whose sum is σ = 31267716480. Its totient is φ = 3436992000.

The previous prime is 10394365799. The next prime is 10394365837. The reversal of 10394365824 is 42856349301.

10394365824 is a `hidden beast` number, since 1 + 0 + 39 + 4 + 36 + 582 + 4 = 666.

10394365824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 10394365824.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4073349 + ... + 4075899.

It is an arithmetic number, because the mean of its divisors is an integer number (162852690).

Almost surely, 2^10394365824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10394365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633858240).

10394365824 is an abundant number, since it is smaller than the sum of its proper divisors (20873350656).

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

10394365824 is an equidigital number, since it uses as much as digits as its factorization.

10394365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10394365824 in words is "ten billion, three hundred ninety-four million, three hundred sixty-five thousand, eight hundred twenty-four".