10935727800 has 96 divisors (see below), whose sum is σ = 34104067200. Its totient is φ = 2898705280.

The previous prime is 10935727783. The next prime is 10935727813. The reversal of 10935727800 is 872753901.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45631 + ... + 154769.

It is an arithmetic number, because the mean of its divisors is an integer number (355250700).

Almost surely, 2^10935727800 is an apocalyptic number.

10935727800 is a gapful number since it is divisible by the number (10) 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 10935727800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17052033600).

10935727800 is an abundant number, since it is smaller than the sum of its proper divisors (23168339400).

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

10935727800 is a wasteful number, since it uses less digits than its factorization.

10935727800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109325 (or 109316 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 10935727800 in words is "ten billion, nine hundred thirty-five million, seven hundred twenty-seven thousand, eight hundred".