11668913385792 has 672 divisors, whose sum is σ = 35843824558080. Its totient is φ = 3341306142720.

The previous prime is 11668913385671. The next prime is 11668913385817. The reversal of 11668913385792 is 29758331986611.

11668913385792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 8955420213 + ... + 8955421515.

It is an arithmetic number, because the mean of its divisors is an integer number (53339024640).

Almost surely, 2^{11668913385792} is an apocalyptic number.

11668913385792 is a gapful number since it is divisible by the number (12) 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 11668913385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921912279040).

11668913385792 is an abundant number, since it is smaller than the sum of its proper divisors (24174911172288).

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

11668913385792 is a wasteful number, since it uses less digits than its factorization.

11668913385792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1688 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 69.

The spelling of 11668913385792 in words is "eleven trillion, six hundred sixty-eight billion, nine hundred thirteen million, three hundred eighty-five thousand, seven hundred ninety-two".