11806320240 has 960 divisors, whose sum is σ = 50228785152. Its totient is φ = 2538086400.

The previous prime is 11806320223. The next prime is 11806320247. The reversal of 11806320240 is 4202360811.

11806320240 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 632 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11806320247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86177452 + ... + 86177588.

Almost surely, 2^11806320240 is an apocalyptic number.

11806320240 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 11806320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25114392576).

11806320240 is an abundant number, since it is smaller than the sum of its proper divisors (38422464912).

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

11806320240 is a wasteful number, since it uses less digits than its factorization.

11806320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11806320240 in words is "eleven billion, eight hundred six million, three hundred twenty thousand, two hundred forty".