11676052827648 has 640 divisors, whose sum is σ = 40968920678400. Its totient is φ = 3243823718400.

The previous prime is 11676052827587. The next prime is 11676052827697. The reversal of 11676052827648 is 84672825067611.

11676052827648 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 60 + 528 + 2 + 7 + 6 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89500515 + ... + 89630877.

It is an arithmetic number, because the mean of its divisors is an integer number (64013938560).

Almost surely, 2^{11676052827648} is an apocalyptic number.

11676052827648 is a gapful number since it is divisible by the number (18) 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 11676052827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484460339200).

11676052827648 is an abundant number, since it is smaller than the sum of its proper divisors (29292867850752).

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

11676052827648 is a wasteful number, since it uses less digits than its factorization.

11676052827648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130451 (or 130429 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 11676052827648 in words is "eleven trillion, six hundred seventy-six billion, fifty-two million, eight hundred twenty-seven thousand, six hundred forty-eight".