11664430306120 has 16 divisors (see below), whose sum is σ = 26244968188860. Its totient is φ = 4665772122432.

The previous prime is 11664430306117. The next prime is 11664430306157. The reversal of 11664430306120 is 2160303446611.

11664430306120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10857196340676 + 807233965444 = 3295026^2 + 898462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11664430306120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145805378787 + ... + 145805378866.

Almost surely, 2^{11664430306120} is an apocalyptic number.

11664430306120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11664430306120 is an abundant number, since it is smaller than the sum of its proper divisors (14580537882740).

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

11664430306120 is a wasteful number, since it uses less digits than its factorization.

11664430306120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291610757664 (or 291610757660 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 11664430306120 in words is "eleven trillion, six hundred sixty-four billion, four hundred thirty million, three hundred six thousand, one hundred twenty".