11805911040 has 1152 divisors, whose sum is σ = 51627663360. Its totient is φ = 2270822400.

The previous prime is 11805911011. The next prime is 11805911081. The reversal of 11805911040 is 4011950811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 11805910989 and 11805911007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380835825 + ... + 380835855.

It is an arithmetic number, because the mean of its divisors is an integer number (44815680).

Almost surely, 2^11805911040 is an apocalyptic number.

11805911040 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 11805911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25813831680).

11805911040 is an abundant number, since it is smaller than the sum of its proper divisors (39821752320).

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

11805911040 is a wasteful number, since it uses less digits than its factorization.

11805911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The spelling of 11805911040 in words is "eleven billion, eight hundred five million, nine hundred eleven thousand, forty".