11873255040 has 768 divisors, whose sum is σ = 46399392000. Its totient is φ = 2783379456.

The previous prime is 11873255011. The next prime is 11873255057. The reversal of 11873255040 is 4055237811.

11873255040 is a `hidden beast` number, since 118 + 7 + 32 + 5 + 504 + 0 = 666.

11873255040 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 = 11873254986 and 11873255004.

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 95 ways as a sum of consecutive naturals, for example, 133407316 + ... + 133407404.

It is an arithmetic number, because the mean of its divisors is an integer number (60415875).

Almost surely, 2^11873255040 is an apocalyptic number.

11873255040 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 11873255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23199696000).

11873255040 is an abundant number, since it is smaller than the sum of its proper divisors (34526136960).

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

11873255040 is a wasteful number, since it uses less digits than its factorization.

11873255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 11873255040 in words is "eleven billion, eight hundred seventy-three million, two hundred fifty-five thousand, forty".