11730666420 has 144 divisors (see below), whose sum is σ = 38882083968. Its totient is φ = 2839092480.

The previous prime is 11730666413. The next prime is 11730666421. The reversal of 11730666420 is 2466603711.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11730666421) 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 47 ways as a sum of consecutive naturals, for example, 1276482 + ... + 1285638.

It is an arithmetic number, because the mean of its divisors is an integer number (270014472).

Almost surely, 2^11730666420 is an apocalyptic number.

11730666420 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 11730666420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19441041984).

11730666420 is an abundant number, since it is smaller than the sum of its proper divisors (27151417548).

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

11730666420 is a wasteful number, since it uses less digits than its factorization.

11730666420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830 (or 9825 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11730666420 in words is "eleven billion, seven hundred thirty million, six hundred sixty-six thousand, four hundred twenty".