10935165120 has 112 divisors (see below), whose sum is σ = 37875472128. Its totient is φ = 2650946560.

The previous prime is 10935165077. The next prime is 10935165139. The reversal of 10935165120 is 2156153901.

It is a super-2 number, since 2×10935165120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507204 + ... + 528323.

Almost surely, 2^10935165120 is an apocalyptic number.

10935165120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10935165120 is an abundant number, since it is smaller than the sum of its proper divisors (26940307008).

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

10935165120 is a wasteful number, since it uses less digits than its factorization.

10935165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035558 (or 1035548 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

It can be divided in two parts, 109351 and 65120, that added together give a palindrome (174471).

The spelling of 10935165120 in words is "ten billion, nine hundred thirty-five million, one hundred sixty-five thousand, one hundred twenty".