10382726009600 has 864 divisors, whose sum is σ = 31762603063296. Its totient is φ = 3279480422400.

The previous prime is 10382726009503. The next prime is 10382726009657. The reversal of 10382726009600 is 690062728301.

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, 8489554589 + ... + 8489555811.

It is an arithmetic number, because the mean of its divisors is an integer number (36762272064).

Almost surely, 2^{10382726009600} is an apocalyptic number.

10382726009600 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 10382726009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15881301531648).

10382726009600 is an abundant number, since it is smaller than the sum of its proper divisors (21379877053696).

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

10382726009600 is a wasteful number, since it uses less digits than its factorization.

10382726009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10382726009600 in words is "ten trillion, three hundred eighty-two billion, seven hundred twenty-six million, nine thousand, six hundred".