10935315792 has 80 divisors (see below), whose sum is σ = 31903047360. Its totient is φ = 3585340800.

The previous prime is 10935315761. The next prime is 10935315851. The reversal of 10935315792 is 29751353901.

10935315792 is a `hidden beast` number, since 10 + 9 + 35 + 31 + 579 + 2 = 666.

10935315792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10935315792² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 181134 + ... + 233837.

It is an arithmetic number, because the mean of its divisors is an integer number (398788092).

Almost surely, 2^10935315792 is an apocalyptic number.

10935315792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10935315792 is an abundant number, since it is smaller than the sum of its proper divisors (20967731568).

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

10935315792 is a wasteful number, since it uses less digits than its factorization.

10935315792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415049 (or 415037 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 10935315792 in words is "ten billion, nine hundred thirty-five million, three hundred fifteen thousand, seven hundred ninety-two".