10390784386320 has 1200 divisors, whose sum is σ = 42389368438032. Its totient is φ = 2348390154240.

The previous prime is 10390784386309. The next prime is 10390784386321. The reversal of 10390784386320 is 2368348709301.

10390784386320 is a `hidden beast` number, since 103 + 9 + 0 + 78 + 438 + 6 + 32 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 9992249746704 + 398534639616 = 3161052^2 + 631296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10390784386321) 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 239 ways as a sum of consecutive naturals, for example, 763291834 + ... + 763305446.

Almost surely, 2^{10390784386320} is an apocalyptic number.

10390784386320 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 10390784386320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194684219016).

10390784386320 is an abundant number, since it is smaller than the sum of its proper divisors (31998584051712).

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

10390784386320 is a wasteful number, since it uses less digits than its factorization.

10390784386320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722 (or 13694 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10390784386320 in words is "ten trillion, three hundred ninety billion, seven hundred eighty-four million, three hundred eighty-six thousand, three hundred twenty".