10793085432 has 192 divisors, whose sum is σ = 30053116800. Its totient is φ = 3220588800.

The previous prime is 10793085431. The next prime is 10793085439. The reversal of 10793085432 is 23458039701.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10793085431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24363403 + ... + 24363845.

It is an arithmetic number, because the mean of its divisors is an integer number (156526650).

Almost surely, 2^10793085432 is an apocalyptic number.

10793085432 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 10793085432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026558400).

10793085432 is an abundant number, since it is smaller than the sum of its proper divisors (19260031368).

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

10793085432 is a wasteful number, since it uses less digits than its factorization.

10793085432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10793085432 in words is "ten billion, seven hundred ninety-three million, eighty-five thousand, four hundred thirty-two".