10852793183232 has 1584 divisors, whose sum is σ = 44694605958912. Its totient is φ = 2488594268160.

The previous prime is 10852793183159. The next prime is 10852793183269. The reversal of 10852793183232 is 23238139725801.

10852793183232 is a `hidden beast` number, since 1 + 0 + 8 + 527 + 9 + 3 + 1 + 83 + 2 + 32 = 666.

10852793183232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1485256123 + ... + 1485263429.

Almost surely, 2^{10852793183232} is an apocalyptic number.

10852793183232 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 10852793183232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347302979456).

10852793183232 is an abundant number, since it is smaller than the sum of its proper divisors (33841812775680).

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

10852793183232 is a wasteful number, since it uses less digits than its factorization.

10852793183232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10852793183232 in words is "ten trillion, eight hundred fifty-two billion, seven hundred ninety-three million, one hundred eighty-three thousand, two hundred thirty-two".