11808685440 has 480 divisors, whose sum is σ = 44577822960. Its totient is φ = 2978519040.

The previous prime is 11808685411. The next prime is 11808685453. The reversal of 11808685440 is 4458680811.

It is a tau number, because it is divible by the number of its divisors (480).

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18713925 + ... + 18714555.

Almost surely, 2^11808685440 is an apocalyptic number.

11808685440 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 11808685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288911480).

11808685440 is an abundant number, since it is smaller than the sum of its proper divisors (32769137520).

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

11808685440 is an equidigital number, since it uses as much as digits as its factorization.

11808685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11808685440 in words is "eleven billion, eight hundred eight million, six hundred eighty-five thousand, four hundred forty".