11668347513900 has 648 divisors, whose sum is σ = 47909993564160. Its totient is φ = 2346376032000.

The previous prime is 11668347513887. The next prime is 11668347513913. The reversal of 11668347513900 is 931574386611.

11668347513900 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 8 + 34 + 7 + 513 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11668347513887) and next prime (11668347513913).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14650141 + ... + 15426059.

Almost surely, 2^{11668347513900} is an apocalyptic number.

11668347513900 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 11668347513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23954996782080).

11668347513900 is an abundant number, since it is smaller than the sum of its proper divisors (36241646050260).

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

11668347513900 is a wasteful number, since it uses less digits than its factorization.

11668347513900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775995 (or 775978 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 11668347513900 in words is "eleven trillion, six hundred sixty-eight billion, three hundred forty-seven million, five hundred thirteen thousand, nine hundred".