11540085844 has 72 divisors (see below), whose sum is σ = 24433866240. Its totient is φ = 4750933824.

The previous prime is 11540085833. The next prime is 11540085847. The reversal of 11540085844 is 44858004511.

It is a junction number, because it is equal to n+sod(n) for n = 11540085797 and 11540085806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540085847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562837 + ... + 582979.

Almost surely, 2^11540085844 is an apocalyptic number.

11540085844 is a gapful number since it is divisible by the number (14) 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 11540085844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216933120).

11540085844 is an abundant number, since it is smaller than the sum of its proper divisors (12893780396).

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

11540085844 is a wasteful number, since it uses less digits than its factorization.

11540085844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The spelling of 11540085844 in words is "eleven billion, five hundred forty million, eighty-five thousand, eight hundred forty-four".