10380665385216 has 729 divisors, whose sum is σ = 35805628191879. Its totient is φ = 2883939158016.

The previous prime is 10380665385197. The next prime is 10380665385221. The reversal of 10380665385216 is 61258356608301.

It is a happy number.

The square root of 10380665385216 is 3221904.

It is a perfect power (a square), and thus also a powerful number.

10380665385216 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 66 + 53 + 8 + 521 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46550068881 + ... + 46550069103.

Almost surely, 2^{10380665385216} is an apocalyptic number.

10380665385216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10380665385216 is the 3221904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10380665385216

10380665385216 is an abundant number, since it is smaller than the sum of its proper divisors (25424962806663).

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

10380665385216 is an frugal number, since it uses more digits than its factorization.

10380665385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 10380665385216 in words is "ten trillion, three hundred eighty billion, six hundred sixty-five million, three hundred eighty-five thousand, two hundred sixteen".