10382647080960 has 2112 divisors, whose sum is σ = 46797835069440. Its totient is φ = 2147758571520.

The previous prime is 10382647080941. The next prime is 10382647080989. The reversal of 10382647080960 is 6908074628301.

10382647080960 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 2 + 6 + 470 + 80 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a junction number, because it is equal to n+sod(n) for n = 10382647080897 and 10382647080906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 46558955409 + ... + 46558955631.

Almost surely, 2^{10382647080960} is an apocalyptic number.

10382647080960 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 10382647080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398917534720).

10382647080960 is an abundant number, since it is smaller than the sum of its proper divisors (36415187988480).

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

10382647080960 is an frugal number, since it uses more digits than its factorization.

10382647080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10382647080960 in words is "ten trillion, three hundred eighty-two billion, six hundred forty-seven million, eighty thousand, nine hundred sixty".