11675682520128 has 672 divisors, whose sum is σ = 37831034921472. Its totient is φ = 3440952852480.

The previous prime is 11675682520109. The next prime is 11675682520181. The reversal of 11675682520128 is 82102528657611.

11675682520128 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 568 + 2 + 52 + 0 + 1 + 28 = 666.

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, 6233679000 + ... + 6233680872.

Almost surely, 2^{11675682520128} is an apocalyptic number.

11675682520128 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 11675682520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18915517460736).

11675682520128 is an abundant number, since it is smaller than the sum of its proper divisors (26155352401344).

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

11675682520128 is a wasteful number, since it uses less digits than its factorization.

11675682520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 11675682520128 in words is "eleven trillion, six hundred seventy-five billion, six hundred eighty-two million, five hundred twenty thousand, one hundred twenty-eight".