11662679280672 has 288 divisors, whose sum is σ = 38205761577984. Its totient is φ = 3305656972800.

The previous prime is 11662679280667. The next prime is 11662679280673. The reversal of 11662679280672 is 27608297626611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (11662679280673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112103013 + ... + 1112113499.

It is an arithmetic number, because the mean of its divisors is an integer number (132658894368).

Almost surely, 2^{11662679280672} is an apocalyptic number.

11662679280672 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 11662679280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19102880788992).

11662679280672 is an abundant number, since it is smaller than the sum of its proper divisors (26543082297312).

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

11662679280672 is a wasteful number, since it uses less digits than its factorization.

11662679280672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14852 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 11662679280672 in words is "eleven trillion, six hundred sixty-two billion, six hundred seventy-nine million, two hundred eighty thousand, six hundred seventy-two".