11679629642576 has 120 divisors (see below), whose sum is σ = 27236409291720. Its totient is φ = 4832092855296.

The previous prime is 11679629642573. The next prime is 11679629642587. The reversal of 11679629642576 is 67524692697611.

It can be written as a sum of positive squares in 4 ways, for example, as 232748353600 + 11446881288976 = 482440^2 + 3383324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11679629642573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137214686 + ... + 137299778.

It is an arithmetic number, because the mean of its divisors is an integer number (226970077431).

Almost surely, 2^{11679629642576} is an apocalyptic number.

11679629642576 is a gapful number since it is divisible by the number (16) 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 11679629642576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618204645860).

11679629642576 is an abundant number, since it is smaller than the sum of its proper divisors (15556779649144).

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

11679629642576 is a wasteful number, since it uses less digits than its factorization.

11679629642576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91181 (or 91168 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 71.

The spelling of 11679629642576 in words is "eleven trillion, six hundred seventy-nine billion, six hundred twenty-nine million, six hundred forty-two thousand, five hundred seventy-six".