10332723788352 has 1008 divisors, whose sum is σ = 38728117209600. Its totient is φ = 2613154037760.

The previous prime is 10332723788351. The next prime is 10332723788369. The reversal of 10332723788352 is 25388732723301.

10332723788352 is a `hidden beast` number, since 1 + 0 + 3 + 327 + 237 + 8 + 83 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (10332723788351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 482083428 + ... + 482104860.

It is an arithmetic number, because the mean of its divisors is an integer number (38420751200).

Almost surely, 2^{10332723788352} is an apocalyptic number.

10332723788352 is a gapful number since it is divisible by the number (12) 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 10332723788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364058604800).

10332723788352 is an abundant number, since it is smaller than the sum of its proper divisors (28395393421248).

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

10332723788352 is a wasteful number, since it uses less digits than its factorization.

10332723788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21544 (or 21524 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10332723788352 in words is "ten trillion, three hundred thirty-two billion, seven hundred twenty-three million, seven hundred eighty-eight thousand, three hundred fifty-two".