11664053335506 has 192 divisors, whose sum is σ = 29027693537280. Its totient is φ = 3088790565120.

The previous prime is 11664053335481. The next prime is 11664053335513. The reversal of 11664053335506 is 60553335046611.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315115456 + ... + 315152468.

It is an arithmetic number, because the mean of its divisors is an integer number (151185903840).

Almost surely, 2^{11664053335506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11664053335506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14513846768640).

11664053335506 is an abundant number, since it is smaller than the sum of its proper divisors (17363640201774).

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

11664053335506 is a wasteful number, since it uses less digits than its factorization.

11664053335506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38561 (or 38548 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 11664053335506 in words is "eleven trillion, six hundred sixty-four billion, fifty-three million, three hundred thirty-five thousand, five hundred six".