11834565840 has 120 divisors (see below), whose sum is σ = 39764193768. Its totient is φ = 3154314240.

The previous prime is 11834565839. The next prime is 11834565857. The reversal of 11834565840 is 4856543811.

11834565840 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 4 + 565 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 11812211856 = 4728^2 + 108684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558730 + ... + 2563350.

Almost surely, 2^11834565840 is an apocalyptic number.

11834565840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11834565840 is an abundant number, since it is smaller than the sum of its proper divisors (27929627928).

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

11834565840 is a wasteful number, since it uses less digits than its factorization.

11834565840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 11834565840 in words is "eleven billion, eight hundred thirty-four million, five hundred sixty-five thousand, eight hundred forty".