11833925040 has 960 divisors, whose sum is σ = 51996672000. Its totient is φ = 2438802432.

The previous prime is 11833925039. The next prime is 11833925101. The reversal of 11833925040 is 4052933811.

11833925040 is a `hidden beast` number, since 1 + 183 + 392 + 50 + 40 = 666.

11833925040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11833924986 and 11833925004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59466861 + ... + 59467059.

It is an arithmetic number, because the mean of its divisors is an integer number (54163200).

Almost surely, 2^11833925040 is an apocalyptic number.

11833925040 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 11833925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336000).

11833925040 is an abundant number, since it is smaller than the sum of its proper divisors (40162746960).

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

11833925040 is a wasteful number, since it uses less digits than its factorization.

11833925040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11833925040 in words is "eleven billion, eight hundred thirty-three million, nine hundred twenty-five thousand, forty".