11855675040 has 192 divisors, whose sum is σ = 40801138560. Its totient is φ = 2869821440.

The previous prime is 11855674913. The next prime is 11855675047. The reversal of 11855675040 is 4057655811.

It is a junction number, because it is equal to n+sod(n) for n = 11855674983 and 11855675001.

It is not an unprimeable number, because it can be changed into a prime (11855675047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4903912 + ... + 4906328.

It is an arithmetic number, because the mean of its divisors is an integer number (212505930).

Almost surely, 2^11855675040 is an apocalyptic number.

11855675040 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 11855675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400569280).

11855675040 is an abundant number, since it is smaller than the sum of its proper divisors (28945463520).

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

11855675040 is a wasteful number, since it uses less digits than its factorization.

11855675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 11855675040 in words is "eleven billion, eight hundred fifty-five million, six hundred seventy-five thousand, forty".