11685374800 has 120 divisors (see below), whose sum is σ = 31146086880. Its totient is φ = 4177113600.

The previous prime is 11685374797. The next prime is 11685374801. The reversal of 11685374800 is 847358611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11685374801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 237094 + ... + 282106.

It is an arithmetic number, because the mean of its divisors is an integer number (259550724).

Almost surely, 2^11685374800 is an apocalyptic number.

11685374800 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 11685374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15573043440).

11685374800 is an abundant number, since it is smaller than the sum of its proper divisors (19460712080).

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

11685374800 is a wasteful number, since it uses less digits than its factorization.

11685374800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45101 (or 45090 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 11685374800 in words is "eleven billion, six hundred eighty-five million, three hundred seventy-four thousand, eight hundred".