11854295393920 has 256 divisors, whose sum is σ = 34298324812800. Its totient is φ = 3824633511936.

The previous prime is 11854295393917. The next prime is 11854295393921. The reversal of 11854295393920 is 2939359245811.

It is not an unprimeable number, because it can be changed into a prime (11854295393921) 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, 837219801 + ... + 837233959.

It is an arithmetic number, because the mean of its divisors is an integer number (133977831300).

Almost surely, 2^{11854295393920} is an apocalyptic number.

11854295393920 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 11854295393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17149162406400).

11854295393920 is an abundant number, since it is smaller than the sum of its proper divisors (22444029418880).

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

11854295393920 is a wasteful number, since it uses less digits than its factorization.

11854295393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25195 (or 25183 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 11854295393920 in words is "eleven trillion, eight hundred fifty-four billion, two hundred ninety-five million, three hundred ninety-three thousand, nine hundred twenty".